Least Common Multiple of 68/30, 72/72, 66/97, 76/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/30, 72/72, 66/97, 76/997 quickly i.e. 255816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/30, 72/72, 66/97, 76/997 is 255816.

LCM(68/30, 72/72, 66/97, 76/997) = 255816

LCM of 68/30, 72/72, 66/97, 76/997

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 68/30,72/72,66/97,76/997

Given numbers are 68/30,72/72,66/97,76/997

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 68,72,66,76

Least Common Multiple of Numerators i.e. LCM of 68,72,66,76 is 255816.

GCF of Denominators means GCF of 30,72,97,997 as per the given fractions.

GCF of 30,72,97,997 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,72,66,76

LCM of Fractions 68/30,72/72,66/97,76/997 is 255816

2 68, 72, 66, 76
2 34, 36, 33, 38
3 17, 18, 33, 19
17, 6, 11, 19

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 6 x 11 x 19 = 255816

Least Common Multiple of 68,72,66,76 with GCF Formula

Least Common Multiple of 68,72,66,76 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 68,72,66,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,72,66,76) = 2

common factors(in case of two or more numbers have common factors) = 48

GCF(68,72,66,76) x common factors =2 x 48 = 96

LCM(68,72,66,76) = ( 68 × 72 × 66 × 76 ) / 96

LCM(68,72,66,76) = 24558336 / 96

LCM(68,72,66,76) = 255816


Lets's calculate GCF of 30,72,97,997

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255816/1

Therefore the LCM of Fractions 68/30,72/72,66/97,76/997 is 255816

Greatest Common Factor of 30,72,97,997 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,72,97,997 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

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 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Greatest Common Factor

We found the factors 30,72,97,997 . The biggest common factor number is the GCF number.
So the greatest common factor 30,72,97,997 is 1.


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 68/30, 72/72, 66/97, 76/997

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 68/30, 72/72, 66/97, 76/997?

Answer: LCM of Numerators as per given numbers 68/30, 72/72, 66/97, 76/997 is

LCM of Numerators i.e. for 68,72,66,76 is 255816

GCF of denominators i.e. for 30,72,97,997 is 1.

Thus, LCM of Fractions is 255816.Finally, LCM of Fractions for 68/30, 72/72, 66/97, 76/997 is 255816.