Least Common Multiple of 522/951, 735/922, 220/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 522/951, 735/922, 220/782 quickly i.e. 2813580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 522/951, 735/922, 220/782 is 2813580.

LCM(522/951, 735/922, 220/782) = 2813580

LCM of 522/951, 735/922, 220/782

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 522/951,735/922,220/782

Given numbers are 522/951,735/922,220/782

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 522,735,220

Least Common Multiple of Numerators i.e. LCM of 522,735,220 is 2813580.

GCF of Denominators means GCF of 951,922,782 as per the given fractions.

GCF of 951,922,782 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 522,735,220

LCM of Fractions 522/951,735/922,220/782 is 2813580

2 522, 735, 220
3 261, 735, 110
5 87, 245, 110
87, 49, 22

∴ So the LCM of the given numbers is 2 x 3 x 5 x 87 x 49 x 22 = 2813580

Least Common Multiple of 522,735,220 with GCF Formula

Least Common Multiple of 522,735,220 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 522,735,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,735,220) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(522,735,220) x common factors =1 x 30 = 30

LCM(522,735,220) = ( 522 × 735 × 220 ) / 30

LCM(522,735,220) = 84407400 / 30

LCM(522,735,220) = 2813580


Lets's calculate GCF of 951,922,782

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2813580/1

Therefore the LCM of Fractions 522/951,735/922,220/782 is 2813580

Greatest Common Factor of 951,922,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 951,922,782 By Matching Biggest Common Factor Method

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 951,922,782 . The biggest common factor number is the GCF number.
So the greatest common factor 951,922,782 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 522/951, 735/922, 220/782

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 522/951, 735/922, 220/782?

Answer: LCM of Numerators as per given numbers 522/951, 735/922, 220/782 is

LCM of Numerators i.e. for 522,735,220 is 2813580

GCF of denominators i.e. for 951,922,782 is 1.

Thus, LCM of Fractions is 2813580.Finally, LCM of Fractions for 522/951, 735/922, 220/782 is 2813580.