Least Common Multiple of 36/502, 7455/4643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 36/502, 7455/4643 quickly i.e. 89460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/502, 7455/4643 is 89460.

LCM(36/502, 7455/4643) = 89460

LCM of 36/502, 7455/4643

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 36/502,7455/4643

Given numbers are 36/502,7455/4643

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 36,7455

Least Common Multiple of Numerators i.e. LCM of 36,7455 is 89460.

GCF of Denominators means GCF of 502,4643 as per the given fractions.

GCF of 502,4643 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,7455

LCM of Fractions 36/502,7455/4643 is 89460

3 36, 7455
12, 2485

∴ So the LCM of the given numbers is 3 x 12 x 2485 = 89460

Least Common Multiple of 36,7455 with GCF Formula

Least Common Multiple of 36,7455 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 36,7455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,7455) = 3

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

GCF(36,7455) x common factors =3 x 1 = 3

LCM(36,7455) = ( 36 × 7455 ) / 3

LCM(36,7455) = 268380 / 3

LCM(36,7455) = 89460


Lets's calculate GCF of 502,4643

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89460/1

Therefore the LCM of Fractions 36/502,7455/4643 is 89460

Greatest Common Factor of 502,4643 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,4643 By Matching Biggest Common Factor Method

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 4643

List of positive integer factors of 4643 that divides 4643 without a remainder.

1,4643

Greatest Common Factor

We found the factors 502,4643 . The biggest common factor number is the GCF number.
So the greatest common factor 502,4643 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 36/502, 7455/4643

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 36/502, 7455/4643?

Answer: LCM of Numerators as per given numbers 36/502, 7455/4643 is

LCM of Numerators i.e. for 36,7455 is 89460

GCF of denominators i.e. for 502,4643 is 1.

Thus, LCM of Fractions is 89460.Finally, LCM of Fractions for 36/502, 7455/4643 is 89460.