Least Common Multiple of 7456/323, 6660/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7456/323, 6660/921 quickly i.e. 12414240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7456/323, 6660/921 is 12414240.

LCM(7456/323, 6660/921) = 12414240

LCM of 7456/323, 6660/921

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 7456/323,6660/921

Given numbers are 7456/323,6660/921

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 7456,6660

Least Common Multiple of Numerators i.e. LCM of 7456,6660 is 12414240.

GCF of Denominators means GCF of 323,921 as per the given fractions.

GCF of 323,921 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7456,6660

LCM of Fractions 7456/323,6660/921 is 12414240

2 7456, 6660
2 3728, 3330
1864, 1665

∴ So the LCM of the given numbers is 2 x 2 x 1864 x 1665 = 12414240

Least Common Multiple of 7456,6660 with GCF Formula

Least Common Multiple of 7456,6660 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 7456,6660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7456,6660) = 4

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

GCF(7456,6660) x common factors =4 x 1 = 4

LCM(7456,6660) = ( 7456 × 6660 ) / 4

LCM(7456,6660) = 49656960 / 4

LCM(7456,6660) = 12414240


Lets's calculate GCF of 323,921

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12414240/1

Therefore the LCM of Fractions 7456/323,6660/921 is 12414240

Greatest Common Factor of 323,921 By Matching Biggest Common Factor Method

Greatest Common Factor of 323,921 By Matching Biggest Common Factor Method

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Greatest Common Factor

We found the factors 323,921 . The biggest common factor number is the GCF number.
So the greatest common factor 323,921 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 7456/323, 6660/921

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 7456/323, 6660/921?

Answer: LCM of Numerators as per given numbers 7456/323, 6660/921 is

LCM of Numerators i.e. for 7456,6660 is 12414240

GCF of denominators i.e. for 323,921 is 1.

Thus, LCM of Fractions is 12414240.Finally, LCM of Fractions for 7456/323, 6660/921 is 12414240.