Least Common Multiple of 6984/477, 3637/3572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6984/477, 3637/3572 quickly i.e. 25400808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6984/477, 3637/3572 is 25400808.

LCM(6984/477, 3637/3572) = 25400808

LCM of 6984/477, 3637/3572

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 6984/477,3637/3572

Given numbers are 6984/477,3637/3572

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 6984,3637

Least Common Multiple of Numerators i.e. LCM of 6984,3637 is 25400808.

GCF of Denominators means GCF of 477,3572 as per the given fractions.

GCF of 477,3572 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6984,3637

LCM of Fractions 6984/477,3637/3572 is 25400808

Given numbers has no common factors except 1. So, there LCM is their product i.e 25400808

Least Common Multiple of 6984,3637 with GCF Formula

Least Common Multiple of 6984,3637 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 6984,3637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6984,3637) = 1

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

GCF(6984,3637) x common factors =1 x 1 = 1

LCM(6984,3637) = ( 6984 × 3637 ) / 1

LCM(6984,3637) = 25400808 / 1

LCM(6984,3637) = 25400808


Lets's calculate GCF of 477,3572

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25400808/1

Therefore the LCM of Fractions 6984/477,3637/3572 is 25400808

Greatest Common Factor of 477,3572 By Matching Biggest Common Factor Method

Greatest Common Factor of 477,3572 By Matching Biggest Common Factor Method

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 3572

List of positive integer factors of 3572 that divides 3572 without a remainder.

1,2,4,19,38,47,76,94,188,893,1786,3572

Greatest Common Factor

We found the factors 477,3572 . The biggest common factor number is the GCF number.
So the greatest common factor 477,3572 is 1.


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Frequently Asked Questions on Fractional LCM of 6984/477, 3637/3572

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 6984/477, 3637/3572?

Answer: LCM of Numerators as per given numbers 6984/477, 3637/3572 is

LCM of Numerators i.e. for 6984,3637 is 25400808

GCF of denominators i.e. for 477,3572 is 1.

Thus, LCM of Fractions is 25400808.Finally, LCM of Fractions for 6984/477, 3637/3572 is 25400808.