Least Common Multiple of 68/92, 31/92, 58/44, 33/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/92, 31/92, 58/44, 33/732 quickly i.e. 504339 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/92, 31/92, 58/44, 33/732 is 504339.

LCM(68/92, 31/92, 58/44, 33/732) = 504339

LCM of 68/92, 31/92, 58/44, 33/732

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 68/92,31/92,58/44,33/732

Given numbers are 68/92,31/92,58/44,33/732

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 68,31,58,33

Least Common Multiple of Numerators i.e. LCM of 68,31,58,33 is 2017356.

GCF of Denominators means GCF of 92,92,44,732 as per the given fractions.

GCF of 92,92,44,732 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,31,58,33

LCM of Fractions 68/92,31/92,58/44,33/732 is 504339

2 68, 31, 58, 33
34, 31, 29, 33

∴ So the LCM of the given numbers is 2 x 34 x 31 x 29 x 33 = 2017356

Least Common Multiple of 68,31,58,33 with GCF Formula

Least Common Multiple of 68,31,58,33 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 68,31,58,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,31,58,33) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(68,31,58,33) x common factors =1 x 2 = 2

LCM(68,31,58,33) = ( 68 × 31 × 58 × 33 ) / 2

LCM(68,31,58,33) = 4034712 / 2

LCM(68,31,58,33) = 2017356


Lets's calculate GCF of 92,92,44,732

2 92, 92, 44, 732
2 46, 46, 22, 366
23, 23, 11, 183

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2017356/4

Therefore the LCM of Fractions 68/92,31/92,58/44,33/732 is 504339

Greatest Common Factor of 92,92,44,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,92,44,732 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 92,92,44,732 . The biggest common factor number is the GCF number.
So the greatest common factor 92,92,44,732 is 4.


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 68/92, 31/92, 58/44, 33/732

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 68/92, 31/92, 58/44, 33/732?

Answer: LCM of Numerators as per given numbers 68/92, 31/92, 58/44, 33/732 is

LCM of Numerators i.e. for 68,31,58,33 is 2017356

GCF of denominators i.e. for 92,92,44,732 is 4.

Thus, LCM of Fractions is 504339.Finally, LCM of Fractions for 68/92, 31/92, 58/44, 33/732 is 504339.