Least Common Multiple of 10/51, 500/55, 708/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/51, 500/55, 708/524 quickly i.e. 88500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/51, 500/55, 708/524 is 88500.

LCM(10/51, 500/55, 708/524) = 88500

LCM of 10/51, 500/55, 708/524

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 10/51,500/55,708/524

Given numbers are 10/51,500/55,708/524

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 10,500,708

Least Common Multiple of Numerators i.e. LCM of 10,500,708 is 88500.

GCF of Denominators means GCF of 51,55,524 as per the given fractions.

GCF of 51,55,524 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,500,708

LCM of Fractions 10/51,500/55,708/524 is 88500

2 10, 500, 708
2 5, 250, 354
5 5, 125, 177
1, 25, 177

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 25 x 177 = 88500

Least Common Multiple of 10,500,708 with GCF Formula

Least Common Multiple of 10,500,708 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 10,500,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,500,708) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(10,500,708) x common factors =2 x 20 = 40

LCM(10,500,708) = ( 10 × 500 × 708 ) / 40

LCM(10,500,708) = 3540000 / 40

LCM(10,500,708) = 88500


Lets's calculate GCF of 51,55,524

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88500/1

Therefore the LCM of Fractions 10/51,500/55,708/524 is 88500

Greatest Common Factor of 51,55,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,55,524 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 51,55,524 . The biggest common factor number is the GCF number.
So the greatest common factor 51,55,524 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 10/51, 500/55, 708/524

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 10/51, 500/55, 708/524?

Answer: LCM of Numerators as per given numbers 10/51, 500/55, 708/524 is

LCM of Numerators i.e. for 10,500,708 is 88500

GCF of denominators i.e. for 51,55,524 is 1.

Thus, LCM of Fractions is 88500.Finally, LCM of Fractions for 10/51, 500/55, 708/524 is 88500.