Least Common Multiple of 807/964, 8784/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 807/964, 8784/540 quickly i.e. 590724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 807/964, 8784/540 is 590724.

LCM(807/964, 8784/540) = 590724

LCM of 807/964, 8784/540

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 807/964,8784/540

Given numbers are 807/964,8784/540

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 807,8784

Least Common Multiple of Numerators i.e. LCM of 807,8784 is 2362896.

GCF of Denominators means GCF of 964,540 as per the given fractions.

GCF of 964,540 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 807,8784

LCM of Fractions 807/964,8784/540 is 590724

3 807, 8784
269, 2928

∴ So the LCM of the given numbers is 3 x 269 x 2928 = 2362896

Least Common Multiple of 807,8784 with GCF Formula

Least Common Multiple of 807,8784 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 807,8784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(807,8784) = 3

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

GCF(807,8784) x common factors =3 x 1 = 3

LCM(807,8784) = ( 807 × 8784 ) / 3

LCM(807,8784) = 7088688 / 3

LCM(807,8784) = 2362896


Lets's calculate GCF of 964,540

2 964, 540
2 482, 270
241, 135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2362896/4

Therefore the LCM of Fractions 807/964,8784/540 is 590724

Greatest Common Factor of 964,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 964,540 By Matching Biggest Common Factor Method

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 964,540 . The biggest common factor number is the GCF number.
So the greatest common factor 964,540 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 807/964, 8784/540

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 807/964, 8784/540?

Answer: LCM of Numerators as per given numbers 807/964, 8784/540 is

LCM of Numerators i.e. for 807,8784 is 2362896

GCF of denominators i.e. for 964,540 is 4.

Thus, LCM of Fractions is 590724.Finally, LCM of Fractions for 807/964, 8784/540 is 590724.