Least Common Multiple of 41/51, 930/72, 252/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/51, 930/72, 252/215 quickly i.e. 1601460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/51, 930/72, 252/215 is 1601460.

LCM(41/51, 930/72, 252/215) = 1601460

LCM of 41/51, 930/72, 252/215

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 41/51,930/72,252/215

Given numbers are 41/51,930/72,252/215

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 41,930,252

Least Common Multiple of Numerators i.e. LCM of 41,930,252 is 1601460.

GCF of Denominators means GCF of 51,72,215 as per the given fractions.

GCF of 51,72,215 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,930,252

LCM of Fractions 41/51,930/72,252/215 is 1601460

2 41, 930, 252
3 41, 465, 126
41, 155, 42

∴ So the LCM of the given numbers is 2 x 3 x 41 x 155 x 42 = 1601460

Least Common Multiple of 41,930,252 with GCF Formula

Least Common Multiple of 41,930,252 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 41,930,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,930,252) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(41,930,252) x common factors =1 x 6 = 6

LCM(41,930,252) = ( 41 × 930 × 252 ) / 6

LCM(41,930,252) = 9608760 / 6

LCM(41,930,252) = 1601460


Lets's calculate GCF of 51,72,215

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1601460/1

Therefore the LCM of Fractions 41/51,930/72,252/215 is 1601460

Greatest Common Factor of 51,72,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,72,215 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Greatest Common Factor

We found the factors 51,72,215 . The biggest common factor number is the GCF number.
So the greatest common factor 51,72,215 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 41/51, 930/72, 252/215

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 41/51, 930/72, 252/215?

Answer: LCM of Numerators as per given numbers 41/51, 930/72, 252/215 is

LCM of Numerators i.e. for 41,930,252 is 1601460

GCF of denominators i.e. for 51,72,215 is 1.

Thus, LCM of Fractions is 1601460.Finally, LCM of Fractions for 41/51, 930/72, 252/215 is 1601460.