Least Common Multiple of 2451/507, 9321/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2451/507, 9321/372 quickly i.e. 2538419 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2451/507, 9321/372 is 2538419.

LCM(2451/507, 9321/372) = 2538419

LCM of 2451/507, 9321/372

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 2451/507,9321/372

Given numbers are 2451/507,9321/372

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 2451,9321

Least Common Multiple of Numerators i.e. LCM of 2451,9321 is 7615257.

GCF of Denominators means GCF of 507,372 as per the given fractions.

GCF of 507,372 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2451,9321

LCM of Fractions 2451/507,9321/372 is 2538419

3 2451, 9321
817, 3107

∴ So the LCM of the given numbers is 3 x 817 x 3107 = 7615257

Least Common Multiple of 2451,9321 with GCF Formula

Least Common Multiple of 2451,9321 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 2451,9321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2451,9321) = 3

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

GCF(2451,9321) x common factors =3 x 1 = 3

LCM(2451,9321) = ( 2451 × 9321 ) / 3

LCM(2451,9321) = 22845771 / 3

LCM(2451,9321) = 7615257


Lets's calculate GCF of 507,372

3 507, 372
169, 124

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7615257/3

Therefore the LCM of Fractions 2451/507,9321/372 is 2538419

Greatest Common Factor of 507,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 507,372 By Matching Biggest Common Factor Method

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 507,372 . The biggest common factor number is the GCF number.
So the greatest common factor 507,372 is 3.


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 2451/507, 9321/372

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 2451/507, 9321/372?

Answer: LCM of Numerators as per given numbers 2451/507, 9321/372 is

LCM of Numerators i.e. for 2451,9321 is 7615257

GCF of denominators i.e. for 507,372 is 3.

Thus, LCM of Fractions is 2538419.Finally, LCM of Fractions for 2451/507, 9321/372 is 2538419.