Least Common Multiple of 6874/938, 9402/3604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6874/938, 9402/3604 quickly i.e. 16157337 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6874/938, 9402/3604 is 16157337.

LCM(6874/938, 9402/3604) = 16157337

LCM of 6874/938, 9402/3604

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 6874/938,9402/3604

Given numbers are 6874/938,9402/3604

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 6874,9402

Least Common Multiple of Numerators i.e. LCM of 6874,9402 is 32314674.

GCF of Denominators means GCF of 938,3604 as per the given fractions.

GCF of 938,3604 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6874,9402

LCM of Fractions 6874/938,9402/3604 is 16157337

2 6874, 9402
3437, 4701

∴ So the LCM of the given numbers is 2 x 3437 x 4701 = 32314674

Least Common Multiple of 6874,9402 with GCF Formula

Least Common Multiple of 6874,9402 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 6874,9402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6874,9402) = 2

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

GCF(6874,9402) x common factors =2 x 1 = 2

LCM(6874,9402) = ( 6874 × 9402 ) / 2

LCM(6874,9402) = 64629348 / 2

LCM(6874,9402) = 32314674


Lets's calculate GCF of 938,3604

2 938, 3604
469, 1802

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32314674/2

Therefore the LCM of Fractions 6874/938,9402/3604 is 16157337

Greatest Common Factor of 938,3604 By Matching Biggest Common Factor Method

Greatest Common Factor of 938,3604 By Matching Biggest Common Factor Method

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 3604

List of positive integer factors of 3604 that divides 3604 without a remainder.

1,2,4,17,34,53,68,106,212,901,1802,3604

Greatest Common Factor

We found the factors 938,3604 . The biggest common factor number is the GCF number.
So the greatest common factor 938,3604 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 6874/938, 9402/3604

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 6874/938, 9402/3604?

Answer: LCM of Numerators as per given numbers 6874/938, 9402/3604 is

LCM of Numerators i.e. for 6874,9402 is 32314674

GCF of denominators i.e. for 938,3604 is 2.

Thus, LCM of Fractions is 16157337.Finally, LCM of Fractions for 6874/938, 9402/3604 is 16157337.