Least Common Multiple of 7140/564, 9474/5299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7140/564, 9474/5299 quickly i.e. 11274060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7140/564, 9474/5299 is 11274060.

LCM(7140/564, 9474/5299) = 11274060

LCM of 7140/564, 9474/5299

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 7140/564,9474/5299

Given numbers are 7140/564,9474/5299

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 7140,9474

Least Common Multiple of Numerators i.e. LCM of 7140,9474 is 11274060.

GCF of Denominators means GCF of 564,5299 as per the given fractions.

GCF of 564,5299 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7140,9474

LCM of Fractions 7140/564,9474/5299 is 11274060

2 7140, 9474
3 3570, 4737
1190, 1579

∴ So the LCM of the given numbers is 2 x 3 x 1190 x 1579 = 11274060

Least Common Multiple of 7140,9474 with GCF Formula

Least Common Multiple of 7140,9474 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 7140,9474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7140,9474) = 6

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

GCF(7140,9474) x common factors =6 x 1 = 6

LCM(7140,9474) = ( 7140 × 9474 ) / 6

LCM(7140,9474) = 67644360 / 6

LCM(7140,9474) = 11274060


Lets's calculate GCF of 564,5299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11274060/1

Therefore the LCM of Fractions 7140/564,9474/5299 is 11274060

Greatest Common Factor of 564,5299 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,5299 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 5299

List of positive integer factors of 5299 that divides 5299 without a remainder.

1,7,757,5299

Greatest Common Factor

We found the factors 564,5299 . The biggest common factor number is the GCF number.
So the greatest common factor 564,5299 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 7140/564, 9474/5299

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 7140/564, 9474/5299?

Answer: LCM of Numerators as per given numbers 7140/564, 9474/5299 is

LCM of Numerators i.e. for 7140,9474 is 11274060

GCF of denominators i.e. for 564,5299 is 1.

Thus, LCM of Fractions is 11274060.Finally, LCM of Fractions for 7140/564, 9474/5299 is 11274060.