Least Common Multiple of 51/952, 30/132, 577/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/952, 30/132, 577/555 quickly i.e. 294270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/952, 30/132, 577/555 is 294270.

LCM(51/952, 30/132, 577/555) = 294270

LCM of 51/952, 30/132, 577/555

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 51/952,30/132,577/555

Given numbers are 51/952,30/132,577/555

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 51,30,577

Least Common Multiple of Numerators i.e. LCM of 51,30,577 is 294270.

GCF of Denominators means GCF of 952,132,555 as per the given fractions.

GCF of 952,132,555 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,30,577

LCM of Fractions 51/952,30/132,577/555 is 294270

3 51, 30, 577
17, 10, 577

∴ So the LCM of the given numbers is 3 x 17 x 10 x 577 = 294270

Least Common Multiple of 51,30,577 with GCF Formula

Least Common Multiple of 51,30,577 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 51,30,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,30,577) = 1

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

GCF(51,30,577) x common factors =1 x 3 = 3

LCM(51,30,577) = ( 51 × 30 × 577 ) / 3

LCM(51,30,577) = 882810 / 3

LCM(51,30,577) = 294270


Lets's calculate GCF of 952,132,555

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 294270/1

Therefore the LCM of Fractions 51/952,30/132,577/555 is 294270

Greatest Common Factor of 952,132,555 By Matching Biggest Common Factor Method

Greatest Common Factor of 952,132,555 By Matching Biggest Common Factor Method

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Greatest Common Factor

We found the factors 952,132,555 . The biggest common factor number is the GCF number.
So the greatest common factor 952,132,555 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 51/952, 30/132, 577/555

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 51/952, 30/132, 577/555?

Answer: LCM of Numerators as per given numbers 51/952, 30/132, 577/555 is

LCM of Numerators i.e. for 51,30,577 is 294270

GCF of denominators i.e. for 952,132,555 is 1.

Thus, LCM of Fractions is 294270.Finally, LCM of Fractions for 51/952, 30/132, 577/555 is 294270.