Least Common Multiple of 837/94, 108/50, 129/397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 837/94, 108/50, 129/397 quickly i.e. 143964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 837/94, 108/50, 129/397 is 143964.

LCM(837/94, 108/50, 129/397) = 143964

LCM of 837/94, 108/50, 129/397

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 837/94,108/50,129/397

Given numbers are 837/94,108/50,129/397

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 837,108,129

Least Common Multiple of Numerators i.e. LCM of 837,108,129 is 143964.

GCF of Denominators means GCF of 94,50,397 as per the given fractions.

GCF of 94,50,397 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 837,108,129

LCM of Fractions 837/94,108/50,129/397 is 143964

3 837, 108, 129
3 279, 36, 43
3 93, 12, 43
31, 4, 43

∴ So the LCM of the given numbers is 3 x 3 x 3 x 31 x 4 x 43 = 143964

Least Common Multiple of 837,108,129 with GCF Formula

Least Common Multiple of 837,108,129 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 837,108,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(837,108,129) = 3

common factors(in case of two or more numbers have common factors) = 27

GCF(837,108,129) x common factors =3 x 27 = 81

LCM(837,108,129) = ( 837 × 108 × 129 ) / 81

LCM(837,108,129) = 11661084 / 81

LCM(837,108,129) = 143964


Lets's calculate GCF of 94,50,397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143964/1

Therefore the LCM of Fractions 837/94,108/50,129/397 is 143964

Greatest Common Factor of 94,50,397 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,50,397 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Greatest Common Factor

We found the factors 94,50,397 . The biggest common factor number is the GCF number.
So the greatest common factor 94,50,397 is 1.


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Frequently Asked Questions on Fractional LCM of 837/94, 108/50, 129/397

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 837/94, 108/50, 129/397?

Answer: LCM of Numerators as per given numbers 837/94, 108/50, 129/397 is

LCM of Numerators i.e. for 837,108,129 is 143964

GCF of denominators i.e. for 94,50,397 is 1.

Thus, LCM of Fractions is 143964.Finally, LCM of Fractions for 837/94, 108/50, 129/397 is 143964.