Least Common Multiple of 12/560, 4524/7970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/560, 4524/7970 quickly i.e. 4524/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/560, 4524/7970 is 4524/10.

LCM(12/560, 4524/7970) = 4524/10

LCM of 12/560, 4524/7970

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 12/560,4524/7970

Given numbers are 12/560,4524/7970

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 12,4524

Least Common Multiple of Numerators i.e. LCM of 12,4524 is 4524.

GCF of Denominators means GCF of 560,7970 as per the given fractions.

GCF of 560,7970 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,4524

LCM of Fractions 12/560,4524/7970 is 4524/10

2 12, 4524
2 6, 2262
3 3, 1131
1, 377

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 377 = 4524

Least Common Multiple of 12,4524 with GCF Formula

Least Common Multiple of 12,4524 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 12,4524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,4524) = 12

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

GCF(12,4524) x common factors =12 x 1 = 12

LCM(12,4524) = ( 12 × 4524 ) / 12

LCM(12,4524) = 54288 / 12

LCM(12,4524) = 4524


Lets's calculate GCF of 560,7970

2 560, 7970
5 280, 3985
56, 797

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4524/10

Therefore the LCM of Fractions 12/560,4524/7970 is 4524/10

Greatest Common Factor of 560,7970 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,7970 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 7970

List of positive integer factors of 7970 that divides 7970 without a remainder.

1,2,5,10,797,1594,3985,7970

Greatest Common Factor

We found the factors 560,7970 . The biggest common factor number is the GCF number.
So the greatest common factor 560,7970 is 10.


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 12/560, 4524/7970

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 12/560, 4524/7970?

Answer: LCM of Numerators as per given numbers 12/560, 4524/7970 is

LCM of Numerators i.e. for 12,4524 is 4524

GCF of denominators i.e. for 560,7970 is 10.

Thus, LCM of Fractions is 4524/10.Finally, LCM of Fractions for 12/560, 4524/7970 is 4524/10.