Least Common Multiple of 29/85, 94/12, 524/635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/85, 94/12, 524/635 quickly i.e. 714212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/85, 94/12, 524/635 is 714212.

LCM(29/85, 94/12, 524/635) = 714212

LCM of 29/85, 94/12, 524/635

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 29/85,94/12,524/635

Given numbers are 29/85,94/12,524/635

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 29,94,524

Least Common Multiple of Numerators i.e. LCM of 29,94,524 is 714212.

GCF of Denominators means GCF of 85,12,635 as per the given fractions.

GCF of 85,12,635 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,94,524

LCM of Fractions 29/85,94/12,524/635 is 714212

2 29, 94, 524
29, 47, 262

∴ So the LCM of the given numbers is 2 x 29 x 47 x 262 = 714212

Least Common Multiple of 29,94,524 with GCF Formula

Least Common Multiple of 29,94,524 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 29,94,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,94,524) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(29,94,524) x common factors =1 x 2 = 2

LCM(29,94,524) = ( 29 × 94 × 524 ) / 2

LCM(29,94,524) = 1428424 / 2

LCM(29,94,524) = 714212


Lets's calculate GCF of 85,12,635

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 714212/1

Therefore the LCM of Fractions 29/85,94/12,524/635 is 714212

Greatest Common Factor of 85,12,635 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,12,635 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Greatest Common Factor

We found the factors 85,12,635 . The biggest common factor number is the GCF number.
So the greatest common factor 85,12,635 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 29/85, 94/12, 524/635

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 29/85, 94/12, 524/635?

Answer: LCM of Numerators as per given numbers 29/85, 94/12, 524/635 is

LCM of Numerators i.e. for 29,94,524 is 714212

GCF of denominators i.e. for 85,12,635 is 1.

Thus, LCM of Fractions is 714212.Finally, LCM of Fractions for 29/85, 94/12, 524/635 is 714212.