Least Common Multiple of 537/36, 175/94, 102/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 537/36, 175/94, 102/415 quickly i.e. 3195150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 537/36, 175/94, 102/415 is 3195150.

LCM(537/36, 175/94, 102/415) = 3195150

LCM of 537/36, 175/94, 102/415

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 537/36,175/94,102/415

Given numbers are 537/36,175/94,102/415

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 537,175,102

Least Common Multiple of Numerators i.e. LCM of 537,175,102 is 3195150.

GCF of Denominators means GCF of 36,94,415 as per the given fractions.

GCF of 36,94,415 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 537,175,102

LCM of Fractions 537/36,175/94,102/415 is 3195150

3 537, 175, 102
179, 175, 34

∴ So the LCM of the given numbers is 3 x 179 x 175 x 34 = 3195150

Least Common Multiple of 537,175,102 with GCF Formula

Least Common Multiple of 537,175,102 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 537,175,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(537,175,102) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(537,175,102) x common factors =1 x 3 = 3

LCM(537,175,102) = ( 537 × 175 × 102 ) / 3

LCM(537,175,102) = 9585450 / 3

LCM(537,175,102) = 3195150


Lets's calculate GCF of 36,94,415

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3195150/1

Therefore the LCM of Fractions 537/36,175/94,102/415 is 3195150

Greatest Common Factor of 36,94,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,94,415 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors 36,94,415 . The biggest common factor number is the GCF number.
So the greatest common factor 36,94,415 is 1.


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 537/36, 175/94, 102/415

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 537/36, 175/94, 102/415?

Answer: LCM of Numerators as per given numbers 537/36, 175/94, 102/415 is

LCM of Numerators i.e. for 537,175,102 is 3195150

GCF of denominators i.e. for 36,94,415 is 1.

Thus, LCM of Fractions is 3195150.Finally, LCM of Fractions for 537/36, 175/94, 102/415 is 3195150.