Least Common Multiple of 7368/456, 8952/3943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7368/456, 8952/3943 quickly i.e. 2748264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7368/456, 8952/3943 is 2748264.

LCM(7368/456, 8952/3943) = 2748264

LCM of 7368/456, 8952/3943

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 7368/456,8952/3943

Given numbers are 7368/456,8952/3943

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 7368,8952

Least Common Multiple of Numerators i.e. LCM of 7368,8952 is 2748264.

GCF of Denominators means GCF of 456,3943 as per the given fractions.

GCF of 456,3943 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7368,8952

LCM of Fractions 7368/456,8952/3943 is 2748264

2 7368, 8952
2 3684, 4476
2 1842, 2238
3 921, 1119
307, 373

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 307 x 373 = 2748264

Least Common Multiple of 7368,8952 with GCF Formula

Least Common Multiple of 7368,8952 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 7368,8952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7368,8952) = 24

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

GCF(7368,8952) x common factors =24 x 1 = 24

LCM(7368,8952) = ( 7368 × 8952 ) / 24

LCM(7368,8952) = 65958336 / 24

LCM(7368,8952) = 2748264


Lets's calculate GCF of 456,3943

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2748264/1

Therefore the LCM of Fractions 7368/456,8952/3943 is 2748264

Greatest Common Factor of 456,3943 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,3943 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 3943

List of positive integer factors of 3943 that divides 3943 without a remainder.

1,3943

Greatest Common Factor

We found the factors 456,3943 . The biggest common factor number is the GCF number.
So the greatest common factor 456,3943 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 7368/456, 8952/3943

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 7368/456, 8952/3943?

Answer: LCM of Numerators as per given numbers 7368/456, 8952/3943 is

LCM of Numerators i.e. for 7368,8952 is 2748264

GCF of denominators i.e. for 456,3943 is 1.

Thus, LCM of Fractions is 2748264.Finally, LCM of Fractions for 7368/456, 8952/3943 is 2748264.