Least Common Multiple of 156/64, 132/77, 972/899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 156/64, 132/77, 972/899 quickly i.e. 138996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 156/64, 132/77, 972/899 is 138996.

LCM(156/64, 132/77, 972/899) = 138996

LCM of 156/64, 132/77, 972/899

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 156/64,132/77,972/899

Given numbers are 156/64,132/77,972/899

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 156,132,972

Least Common Multiple of Numerators i.e. LCM of 156,132,972 is 138996.

GCF of Denominators means GCF of 64,77,899 as per the given fractions.

GCF of 64,77,899 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 156,132,972

LCM of Fractions 156/64,132/77,972/899 is 138996

2 156, 132, 972
2 78, 66, 486
3 39, 33, 243
13, 11, 81

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 11 x 81 = 138996

Least Common Multiple of 156,132,972 with GCF Formula

Least Common Multiple of 156,132,972 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 156,132,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,132,972) = 12

common factors(in case of two or more numbers have common factors) = 12

GCF(156,132,972) x common factors =12 x 12 = 144

LCM(156,132,972) = ( 156 × 132 × 972 ) / 144

LCM(156,132,972) = 20015424 / 144

LCM(156,132,972) = 138996


Lets's calculate GCF of 64,77,899

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138996/1

Therefore the LCM of Fractions 156/64,132/77,972/899 is 138996

Greatest Common Factor of 64,77,899 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,77,899 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Greatest Common Factor

We found the factors 64,77,899 . The biggest common factor number is the GCF number.
So the greatest common factor 64,77,899 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 156/64, 132/77, 972/899

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 156/64, 132/77, 972/899?

Answer: LCM of Numerators as per given numbers 156/64, 132/77, 972/899 is

LCM of Numerators i.e. for 156,132,972 is 138996

GCF of denominators i.e. for 64,77,899 is 1.

Thus, LCM of Fractions is 138996.Finally, LCM of Fractions for 156/64, 132/77, 972/899 is 138996.