Least Common Multiple of 391/538, 962/452, 492/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 391/538, 962/452, 492/128 quickly i.e. 46265466 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 391/538, 962/452, 492/128 is 46265466.

LCM(391/538, 962/452, 492/128) = 46265466

LCM of 391/538, 962/452, 492/128

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 391/538,962/452,492/128

Given numbers are 391/538,962/452,492/128

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 391,962,492

Least Common Multiple of Numerators i.e. LCM of 391,962,492 is 92530932.

GCF of Denominators means GCF of 538,452,128 as per the given fractions.

GCF of 538,452,128 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 391,962,492

LCM of Fractions 391/538,962/452,492/128 is 46265466

2 391, 962, 492
391, 481, 246

∴ So the LCM of the given numbers is 2 x 391 x 481 x 246 = 92530932

Least Common Multiple of 391,962,492 with GCF Formula

Least Common Multiple of 391,962,492 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 391,962,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,962,492) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(391,962,492) x common factors =1 x 2 = 2

LCM(391,962,492) = ( 391 × 962 × 492 ) / 2

LCM(391,962,492) = 185061864 / 2

LCM(391,962,492) = 92530932


Lets's calculate GCF of 538,452,128

2 538, 452, 128
269, 226, 64

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92530932/2

Therefore the LCM of Fractions 391/538,962/452,492/128 is 46265466

Greatest Common Factor of 538,452,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,452,128 By Matching Biggest Common Factor Method

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors 538,452,128 . The biggest common factor number is the GCF number.
So the greatest common factor 538,452,128 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 391/538, 962/452, 492/128

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 391/538, 962/452, 492/128?

Answer: LCM of Numerators as per given numbers 391/538, 962/452, 492/128 is

LCM of Numerators i.e. for 391,962,492 is 92530932

GCF of denominators i.e. for 538,452,128 is 2.

Thus, LCM of Fractions is 46265466.Finally, LCM of Fractions for 391/538, 962/452, 492/128 is 46265466.