Least Common Multiple of 524/86, 556/7365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 524/86, 556/7365 quickly i.e. 72836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 524/86, 556/7365 is 72836.

LCM(524/86, 556/7365) = 72836

LCM of 524/86, 556/7365

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 524/86,556/7365

Given numbers are 524/86,556/7365

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 524,556

Least Common Multiple of Numerators i.e. LCM of 524,556 is 72836.

GCF of Denominators means GCF of 86,7365 as per the given fractions.

GCF of 86,7365 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 524,556

LCM of Fractions 524/86,556/7365 is 72836

2 524, 556
2 262, 278
131, 139

∴ So the LCM of the given numbers is 2 x 2 x 131 x 139 = 72836

Least Common Multiple of 524,556 with GCF Formula

Least Common Multiple of 524,556 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 524,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,556) = 4

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

GCF(524,556) x common factors =4 x 1 = 4

LCM(524,556) = ( 524 × 556 ) / 4

LCM(524,556) = 291344 / 4

LCM(524,556) = 72836


Lets's calculate GCF of 86,7365

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72836/1

Therefore the LCM of Fractions 524/86,556/7365 is 72836

Greatest Common Factor of 86,7365 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,7365 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 7365

List of positive integer factors of 7365 that divides 7365 without a remainder.

1,3,5,15,491,1473,2455,7365

Greatest Common Factor

We found the factors 86,7365 . The biggest common factor number is the GCF number.
So the greatest common factor 86,7365 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 524/86, 556/7365

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 524/86, 556/7365?

Answer: LCM of Numerators as per given numbers 524/86, 556/7365 is

LCM of Numerators i.e. for 524,556 is 72836

GCF of denominators i.e. for 86,7365 is 1.

Thus, LCM of Fractions is 72836.Finally, LCM of Fractions for 524/86, 556/7365 is 72836.