Least Common Multiple of 7456/655, 1482/5956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7456/655, 1482/5956 quickly i.e. 5524896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7456/655, 1482/5956 is 5524896.

LCM(7456/655, 1482/5956) = 5524896

LCM of 7456/655, 1482/5956

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 7456/655,1482/5956

Given numbers are 7456/655,1482/5956

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 7456,1482

Least Common Multiple of Numerators i.e. LCM of 7456,1482 is 5524896.

GCF of Denominators means GCF of 655,5956 as per the given fractions.

GCF of 655,5956 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7456,1482

LCM of Fractions 7456/655,1482/5956 is 5524896

2 7456, 1482
3728, 741

∴ So the LCM of the given numbers is 2 x 3728 x 741 = 5524896

Least Common Multiple of 7456,1482 with GCF Formula

Least Common Multiple of 7456,1482 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 7456,1482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7456,1482) = 2

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

GCF(7456,1482) x common factors =2 x 1 = 2

LCM(7456,1482) = ( 7456 × 1482 ) / 2

LCM(7456,1482) = 11049792 / 2

LCM(7456,1482) = 5524896


Lets's calculate GCF of 655,5956

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5524896/1

Therefore the LCM of Fractions 7456/655,1482/5956 is 5524896

Greatest Common Factor of 655,5956 By Matching Biggest Common Factor Method

Greatest Common Factor of 655,5956 By Matching Biggest Common Factor Method

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 5956

List of positive integer factors of 5956 that divides 5956 without a remainder.

1,2,4,1489,2978,5956

Greatest Common Factor

We found the factors 655,5956 . The biggest common factor number is the GCF number.
So the greatest common factor 655,5956 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 7456/655, 1482/5956

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 7456/655, 1482/5956?

Answer: LCM of Numerators as per given numbers 7456/655, 1482/5956 is

LCM of Numerators i.e. for 7456,1482 is 5524896

GCF of denominators i.e. for 655,5956 is 1.

Thus, LCM of Fractions is 5524896.Finally, LCM of Fractions for 7456/655, 1482/5956 is 5524896.