Least Common Multiple of 522/318, 167/465, 121/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 522/318, 167/465, 121/710 quickly i.e. 10548054 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 522/318, 167/465, 121/710 is 10548054.

LCM(522/318, 167/465, 121/710) = 10548054

LCM of 522/318, 167/465, 121/710

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 522/318,167/465,121/710

Given numbers are 522/318,167/465,121/710

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 522,167,121

Least Common Multiple of Numerators i.e. LCM of 522,167,121 is 10548054.

GCF of Denominators means GCF of 318,465,710 as per the given fractions.

GCF of 318,465,710 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 522,167,121

LCM of Fractions 522/318,167/465,121/710 is 10548054

Given numbers has no common factors except 1. So, there LCM is their product i.e 10548054

Least Common Multiple of 522,167,121 with GCF Formula

Least Common Multiple of 522,167,121 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 522,167,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,167,121) = 1

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

GCF(522,167,121) x common factors =1 x 1 = 1

LCM(522,167,121) = ( 522 × 167 × 121 ) / 1

LCM(522,167,121) = 10548054 / 1

LCM(522,167,121) = 10548054


Lets's calculate GCF of 318,465,710

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10548054/1

Therefore the LCM of Fractions 522/318,167/465,121/710 is 10548054

Greatest Common Factor of 318,465,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,465,710 By Matching Biggest Common Factor Method

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 318,465,710 . The biggest common factor number is the GCF number.
So the greatest common factor 318,465,710 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 522/318, 167/465, 121/710

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 522/318, 167/465, 121/710?

Answer: LCM of Numerators as per given numbers 522/318, 167/465, 121/710 is

LCM of Numerators i.e. for 522,167,121 is 10548054

GCF of denominators i.e. for 318,465,710 is 1.

Thus, LCM of Fractions is 10548054.Finally, LCM of Fractions for 522/318, 167/465, 121/710 is 10548054.