Least Common Multiple of 62/375, 64/429, 508/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/375, 64/429, 508/828 quickly i.e. 251968/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/375, 64/429, 508/828 is 251968/3.

LCM(62/375, 64/429, 508/828) = 251968/3

LCM of 62/375, 64/429, 508/828

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 62/375,64/429,508/828

Given numbers are 62/375,64/429,508/828

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 62,64,508

Least Common Multiple of Numerators i.e. LCM of 62,64,508 is 251968.

GCF of Denominators means GCF of 375,429,828 as per the given fractions.

GCF of 375,429,828 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,64,508

LCM of Fractions 62/375,64/429,508/828 is 251968/3

2 62, 64, 508
2 31, 32, 254
31, 16, 127

∴ So the LCM of the given numbers is 2 x 2 x 31 x 16 x 127 = 251968

Least Common Multiple of 62,64,508 with GCF Formula

Least Common Multiple of 62,64,508 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 62,64,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,64,508) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(62,64,508) x common factors =2 x 4 = 8

LCM(62,64,508) = ( 62 × 64 × 508 ) / 8

LCM(62,64,508) = 2015744 / 8

LCM(62,64,508) = 251968


Lets's calculate GCF of 375,429,828

3 375, 429, 828
125, 143, 276

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 251968/3

Therefore the LCM of Fractions 62/375,64/429,508/828 is 251968/3

Greatest Common Factor of 375,429,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,429,828 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

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 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 375,429,828 . The biggest common factor number is the GCF number.
So the greatest common factor 375,429,828 is 3.


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 62/375, 64/429, 508/828

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 62/375, 64/429, 508/828?

Answer: LCM of Numerators as per given numbers 62/375, 64/429, 508/828 is

LCM of Numerators i.e. for 62,64,508 is 251968

GCF of denominators i.e. for 375,429,828 is 3.

Thus, LCM of Fractions is 251968/3.Finally, LCM of Fractions for 62/375, 64/429, 508/828 is 251968/3.