Least Common Multiple of 472/76, 185/6396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 472/76, 185/6396 quickly i.e. 21830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 472/76, 185/6396 is 21830.

LCM(472/76, 185/6396) = 21830

LCM of 472/76, 185/6396

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 472/76,185/6396

Given numbers are 472/76,185/6396

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 472,185

Least Common Multiple of Numerators i.e. LCM of 472,185 is 87320.

GCF of Denominators means GCF of 76,6396 as per the given fractions.

GCF of 76,6396 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 472,185

LCM of Fractions 472/76,185/6396 is 21830

Given numbers has no common factors except 1. So, there LCM is their product i.e 87320

Least Common Multiple of 472,185 with GCF Formula

Least Common Multiple of 472,185 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 472,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,185) = 1

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

GCF(472,185) x common factors =1 x 1 = 1

LCM(472,185) = ( 472 × 185 ) / 1

LCM(472,185) = 87320 / 1

LCM(472,185) = 87320


Lets's calculate GCF of 76,6396

2 76, 6396
2 38, 3198
19, 1599

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87320/4

Therefore the LCM of Fractions 472/76,185/6396 is 21830

Greatest Common Factor of 76,6396 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,6396 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 6396

List of positive integer factors of 6396 that divides 6396 without a remainder.

1,2,3,4,6,12,13,26,39,41,52,78,82,123,156,164,246,492,533,1066,1599,2132,3198,6396

Greatest Common Factor

We found the factors 76,6396 . The biggest common factor number is the GCF number.
So the greatest common factor 76,6396 is 4.


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Frequently Asked Questions on Fractional LCM of 472/76, 185/6396

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 472/76, 185/6396?

Answer: LCM of Numerators as per given numbers 472/76, 185/6396 is

LCM of Numerators i.e. for 472,185 is 87320

GCF of denominators i.e. for 76,6396 is 4.

Thus, LCM of Fractions is 21830.Finally, LCM of Fractions for 472/76, 185/6396 is 21830.