Least Common Multiple of 882/78, 524/5217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 882/78, 524/5217 quickly i.e. 77028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 882/78, 524/5217 is 77028.

LCM(882/78, 524/5217) = 77028

LCM of 882/78, 524/5217

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 882/78,524/5217

Given numbers are 882/78,524/5217

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 882,524

Least Common Multiple of Numerators i.e. LCM of 882,524 is 231084.

GCF of Denominators means GCF of 78,5217 as per the given fractions.

GCF of 78,5217 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 882,524

LCM of Fractions 882/78,524/5217 is 77028

2 882, 524
441, 262

∴ So the LCM of the given numbers is 2 x 441 x 262 = 231084

Least Common Multiple of 882,524 with GCF Formula

Least Common Multiple of 882,524 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 882,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,524) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(882,524) x common factors =2 x 1 = 2

LCM(882,524) = ( 882 × 524 ) / 2

LCM(882,524) = 462168 / 2

LCM(882,524) = 231084


Lets's calculate GCF of 78,5217

3 78, 5217
26, 1739

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231084/3

Therefore the LCM of Fractions 882/78,524/5217 is 77028

Greatest Common Factor of 78,5217 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,5217 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 5217

List of positive integer factors of 5217 that divides 5217 without a remainder.

1,3,37,47,111,141,1739,5217

Greatest Common Factor

We found the factors 78,5217 . The biggest common factor number is the GCF number.
So the greatest common factor 78,5217 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 882/78, 524/5217

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 882/78, 524/5217?

Answer: LCM of Numerators as per given numbers 882/78, 524/5217 is

LCM of Numerators i.e. for 882,524 is 231084

GCF of denominators i.e. for 78,5217 is 3.

Thus, LCM of Fractions is 77028.Finally, LCM of Fractions for 882/78, 524/5217 is 77028.