Least Common Multiple of 597/442, 846/452, 507/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 597/442, 846/452, 507/272 quickly i.e. 14225913 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 597/442, 846/452, 507/272 is 14225913.

LCM(597/442, 846/452, 507/272) = 14225913

LCM of 597/442, 846/452, 507/272

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 597/442,846/452,507/272

Given numbers are 597/442,846/452,507/272

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 597,846,507

Least Common Multiple of Numerators i.e. LCM of 597,846,507 is 28451826.

GCF of Denominators means GCF of 442,452,272 as per the given fractions.

GCF of 442,452,272 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 597,846,507

LCM of Fractions 597/442,846/452,507/272 is 14225913

3 597, 846, 507
199, 282, 169

∴ So the LCM of the given numbers is 3 x 199 x 282 x 169 = 28451826

Least Common Multiple of 597,846,507 with GCF Formula

Least Common Multiple of 597,846,507 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 597,846,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(597,846,507) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(597,846,507) x common factors =3 x 3 = 9

LCM(597,846,507) = ( 597 × 846 × 507 ) / 9

LCM(597,846,507) = 256066434 / 9

LCM(597,846,507) = 28451826


Lets's calculate GCF of 442,452,272

2 442, 452, 272
221, 226, 136

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28451826/2

Therefore the LCM of Fractions 597/442,846/452,507/272 is 14225913

Greatest Common Factor of 442,452,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,452,272 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 442,452,272 . The biggest common factor number is the GCF number.
So the greatest common factor 442,452,272 is 2.


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 597/442, 846/452, 507/272

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 597/442, 846/452, 507/272?

Answer: LCM of Numerators as per given numbers 597/442, 846/452, 507/272 is

LCM of Numerators i.e. for 597,846,507 is 28451826

GCF of denominators i.e. for 442,452,272 is 2.

Thus, LCM of Fractions is 14225913.Finally, LCM of Fractions for 597/442, 846/452, 507/272 is 14225913.