Least Common Multiple of 52/429, 50/564, 676/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/429, 50/564, 676/365 quickly i.e. 16900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/429, 50/564, 676/365 is 16900.

LCM(52/429, 50/564, 676/365) = 16900

LCM of 52/429, 50/564, 676/365

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 52/429,50/564,676/365

Given numbers are 52/429,50/564,676/365

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 52,50,676

Least Common Multiple of Numerators i.e. LCM of 52,50,676 is 16900.

GCF of Denominators means GCF of 429,564,365 as per the given fractions.

GCF of 429,564,365 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,50,676

LCM of Fractions 52/429,50/564,676/365 is 16900

2 52, 50, 676
2 26, 25, 338
13 13, 25, 169
1, 25, 13

∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 25 x 13 = 16900

Least Common Multiple of 52,50,676 with GCF Formula

Least Common Multiple of 52,50,676 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 52,50,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,50,676) = 2

common factors(in case of two or more numbers have common factors) = 52

GCF(52,50,676) x common factors =2 x 52 = 104

LCM(52,50,676) = ( 52 × 50 × 676 ) / 104

LCM(52,50,676) = 1757600 / 104

LCM(52,50,676) = 16900


Lets's calculate GCF of 429,564,365

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16900/1

Therefore the LCM of Fractions 52/429,50/564,676/365 is 16900

Greatest Common Factor of 429,564,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,564,365 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 429,564,365 . The biggest common factor number is the GCF number.
So the greatest common factor 429,564,365 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 52/429, 50/564, 676/365

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 52/429, 50/564, 676/365?

Answer: LCM of Numerators as per given numbers 52/429, 50/564, 676/365 is

LCM of Numerators i.e. for 52,50,676 is 16900

GCF of denominators i.e. for 429,564,365 is 1.

Thus, LCM of Fractions is 16900.Finally, LCM of Fractions for 52/429, 50/564, 676/365 is 16900.