Least Common Multiple of 8964/54, 6280/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8964/54, 6280/644 quickly i.e. 7036740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8964/54, 6280/644 is 7036740.

LCM(8964/54, 6280/644) = 7036740

LCM of 8964/54, 6280/644

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 8964/54,6280/644

Given numbers are 8964/54,6280/644

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 8964,6280

Least Common Multiple of Numerators i.e. LCM of 8964,6280 is 14073480.

GCF of Denominators means GCF of 54,644 as per the given fractions.

GCF of 54,644 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8964,6280

LCM of Fractions 8964/54,6280/644 is 7036740

2 8964, 6280
2 4482, 3140
2241, 1570

∴ So the LCM of the given numbers is 2 x 2 x 2241 x 1570 = 14073480

Least Common Multiple of 8964,6280 with GCF Formula

Least Common Multiple of 8964,6280 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 8964,6280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8964,6280) = 4

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

GCF(8964,6280) x common factors =4 x 1 = 4

LCM(8964,6280) = ( 8964 × 6280 ) / 4

LCM(8964,6280) = 56293920 / 4

LCM(8964,6280) = 14073480


Lets's calculate GCF of 54,644

2 54, 644
27, 322

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14073480/2

Therefore the LCM of Fractions 8964/54,6280/644 is 7036740

Greatest Common Factor of 54,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,644 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 54,644 . The biggest common factor number is the GCF number.
So the greatest common factor 54,644 is 2.


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 8964/54, 6280/644

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 8964/54, 6280/644?

Answer: LCM of Numerators as per given numbers 8964/54, 6280/644 is

LCM of Numerators i.e. for 8964,6280 is 14073480

GCF of denominators i.e. for 54,644 is 2.

Thus, LCM of Fractions is 7036740.Finally, LCM of Fractions for 8964/54, 6280/644 is 7036740.