Least Common Multiple of 156/68, 656/8964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 156/68, 656/8964 quickly i.e. 6396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 156/68, 656/8964 is 6396.

LCM(156/68, 656/8964) = 6396

LCM of 156/68, 656/8964

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 156/68,656/8964

Given numbers are 156/68,656/8964

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 156,656

Least Common Multiple of Numerators i.e. LCM of 156,656 is 25584.

GCF of Denominators means GCF of 68,8964 as per the given fractions.

GCF of 68,8964 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 156,656

LCM of Fractions 156/68,656/8964 is 6396

2 156, 656
2 78, 328
39, 164

∴ So the LCM of the given numbers is 2 x 2 x 39 x 164 = 25584

Least Common Multiple of 156,656 with GCF Formula

Least Common Multiple of 156,656 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 156,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,656) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(156,656) x common factors =4 x 1 = 4

LCM(156,656) = ( 156 × 656 ) / 4

LCM(156,656) = 102336 / 4

LCM(156,656) = 25584


Lets's calculate GCF of 68,8964

2 68, 8964
2 34, 4482
17, 2241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25584/4

Therefore the LCM of Fractions 156/68,656/8964 is 6396

Greatest Common Factor of 68,8964 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,8964 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 8964

List of positive integer factors of 8964 that divides 8964 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,83,108,166,249,332,498,747,996,1494,2241,2988,4482,8964

Greatest Common Factor

We found the factors 68,8964 . The biggest common factor number is the GCF number.
So the greatest common factor 68,8964 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 156/68, 656/8964

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 156/68, 656/8964?

Answer: LCM of Numerators as per given numbers 156/68, 656/8964 is

LCM of Numerators i.e. for 156,656 is 25584

GCF of denominators i.e. for 68,8964 is 4.

Thus, LCM of Fractions is 6396.Finally, LCM of Fractions for 156/68, 656/8964 is 6396.