Least Common Multiple of 522/60, 160/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 522/60, 160/704 quickly i.e. 10440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 522/60, 160/704 is 10440.

LCM(522/60, 160/704) = 10440

LCM of 522/60, 160/704

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 522/60,160/704

Given numbers are 522/60,160/704

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 522,160

Least Common Multiple of Numerators i.e. LCM of 522,160 is 41760.

GCF of Denominators means GCF of 60,704 as per the given fractions.

GCF of 60,704 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 522,160

LCM of Fractions 522/60,160/704 is 10440

2 522, 160
261, 80

∴ So the LCM of the given numbers is 2 x 261 x 80 = 41760

Least Common Multiple of 522,160 with GCF Formula

Least Common Multiple of 522,160 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 522,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,160) = 2

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

GCF(522,160) x common factors =2 x 1 = 2

LCM(522,160) = ( 522 × 160 ) / 2

LCM(522,160) = 83520 / 2

LCM(522,160) = 41760


Lets's calculate GCF of 60,704

2 60, 704
2 30, 352
15, 176

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41760/4

Therefore the LCM of Fractions 522/60,160/704 is 10440

Greatest Common Factor of 60,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,704 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 60,704 . The biggest common factor number is the GCF number.
So the greatest common factor 60,704 is 4.


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 522/60, 160/704

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 522/60, 160/704?

Answer: LCM of Numerators as per given numbers 522/60, 160/704 is

LCM of Numerators i.e. for 522,160 is 41760

GCF of denominators i.e. for 60,704 is 4.

Thus, LCM of Fractions is 10440.Finally, LCM of Fractions for 522/60, 160/704 is 10440.