Least Common Multiple of 938/67, 831/51, 156/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 938/67, 831/51, 156/896 quickly i.e. 20266428 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 938/67, 831/51, 156/896 is 20266428.

LCM(938/67, 831/51, 156/896) = 20266428

LCM of 938/67, 831/51, 156/896

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 938/67,831/51,156/896

Given numbers are 938/67,831/51,156/896

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 938,831,156

Least Common Multiple of Numerators i.e. LCM of 938,831,156 is 20266428.

GCF of Denominators means GCF of 67,51,896 as per the given fractions.

GCF of 67,51,896 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 938,831,156

LCM of Fractions 938/67,831/51,156/896 is 20266428

2 938, 831, 156
3 469, 831, 78
469, 277, 26

∴ So the LCM of the given numbers is 2 x 3 x 469 x 277 x 26 = 20266428

Least Common Multiple of 938,831,156 with GCF Formula

Least Common Multiple of 938,831,156 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 938,831,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,831,156) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(938,831,156) x common factors =1 x 6 = 6

LCM(938,831,156) = ( 938 × 831 × 156 ) / 6

LCM(938,831,156) = 121598568 / 6

LCM(938,831,156) = 20266428


Lets's calculate GCF of 67,51,896

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20266428/1

Therefore the LCM of Fractions 938/67,831/51,156/896 is 20266428

Greatest Common Factor of 67,51,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,51,896 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Greatest Common Factor

We found the factors 67,51,896 . The biggest common factor number is the GCF number.
So the greatest common factor 67,51,896 is 1.


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Frequently Asked Questions on Fractional LCM of 938/67, 831/51, 156/896

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 938/67, 831/51, 156/896?

Answer: LCM of Numerators as per given numbers 938/67, 831/51, 156/896 is

LCM of Numerators i.e. for 938,831,156 is 20266428

GCF of denominators i.e. for 67,51,896 is 1.

Thus, LCM of Fractions is 20266428.Finally, LCM of Fractions for 938/67, 831/51, 156/896 is 20266428.