Least Common Multiple of 68/96, 83/72, 58/78, 62/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/96, 83/72, 58/78, 62/972 quickly i.e. 5073956/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/96, 83/72, 58/78, 62/972 is 5073956/6.

LCM(68/96, 83/72, 58/78, 62/972) = 5073956/6

LCM of 68/96, 83/72, 58/78, 62/972

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 68/96,83/72,58/78,62/972

Given numbers are 68/96,83/72,58/78,62/972

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 68,83,58,62

Least Common Multiple of Numerators i.e. LCM of 68,83,58,62 is 5073956.

GCF of Denominators means GCF of 96,72,78,972 as per the given fractions.

GCF of 96,72,78,972 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,83,58,62

LCM of Fractions 68/96,83/72,58/78,62/972 is 5073956/6

2 68, 83, 58, 62
34, 83, 29, 31

∴ So the LCM of the given numbers is 2 x 34 x 83 x 29 x 31 = 5073956

Least Common Multiple of 68,83,58,62 with GCF Formula

Least Common Multiple of 68,83,58,62 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 68,83,58,62 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,83,58,62) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(68,83,58,62) x common factors =1 x 4 = 4

LCM(68,83,58,62) = ( 68 × 83 × 58 × 62 ) / 4

LCM(68,83,58,62) = 20295824 / 4

LCM(68,83,58,62) = 5073956


Lets's calculate GCF of 96,72,78,972

2 96, 72, 78, 972
3 48, 36, 39, 486
16, 12, 13, 162

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5073956/6

Therefore the LCM of Fractions 68/96,83/72,58/78,62/972 is 5073956/6

Greatest Common Factor of 96,72,78,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,72,78,972 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 96,72,78,972 . The biggest common factor number is the GCF number.
So the greatest common factor 96,72,78,972 is 6.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 68/96, 83/72, 58/78, 62/972

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 68/96, 83/72, 58/78, 62/972?

Answer: LCM of Numerators as per given numbers 68/96, 83/72, 58/78, 62/972 is

LCM of Numerators i.e. for 68,83,58,62 is 5073956

GCF of denominators i.e. for 96,72,78,972 is 6.

Thus, LCM of Fractions is 5073956/6.Finally, LCM of Fractions for 68/96, 83/72, 58/78, 62/972 is 5073956/6.