Least Common Multiple of 35/538, 3152/1504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/538, 3152/1504 quickly i.e. 55160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/538, 3152/1504 is 55160.

LCM(35/538, 3152/1504) = 55160

LCM of 35/538, 3152/1504

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 35/538,3152/1504

Given numbers are 35/538,3152/1504

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 35,3152

Least Common Multiple of Numerators i.e. LCM of 35,3152 is 110320.

GCF of Denominators means GCF of 538,1504 as per the given fractions.

GCF of 538,1504 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,3152

LCM of Fractions 35/538,3152/1504 is 55160

Given numbers has no common factors except 1. So, there LCM is their product i.e 110320

Least Common Multiple of 35,3152 with GCF Formula

Least Common Multiple of 35,3152 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 35,3152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,3152) = 1

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

GCF(35,3152) x common factors =1 x 1 = 1

LCM(35,3152) = ( 35 × 3152 ) / 1

LCM(35,3152) = 110320 / 1

LCM(35,3152) = 110320


Lets's calculate GCF of 538,1504

2 538, 1504
269, 752

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110320/2

Therefore the LCM of Fractions 35/538,3152/1504 is 55160

Greatest Common Factor of 538,1504 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,1504 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 1504

List of positive integer factors of 1504 that divides 1504 without a remainder.

1,2,4,8,16,32,47,94,188,376,752,1504

Greatest Common Factor

We found the factors 538,1504 . The biggest common factor number is the GCF number.
So the greatest common factor 538,1504 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 35/538, 3152/1504

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 35/538, 3152/1504?

Answer: LCM of Numerators as per given numbers 35/538, 3152/1504 is

LCM of Numerators i.e. for 35,3152 is 110320

GCF of denominators i.e. for 538,1504 is 2.

Thus, LCM of Fractions is 55160.Finally, LCM of Fractions for 35/538, 3152/1504 is 55160.