Least Common Multiple of 297/279, 1509/857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 297/279, 1509/857 quickly i.e. 149391 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 297/279, 1509/857 is 149391.

LCM(297/279, 1509/857) = 149391

LCM of 297/279, 1509/857

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 297/279,1509/857

Given numbers are 297/279,1509/857

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 297,1509

Least Common Multiple of Numerators i.e. LCM of 297,1509 is 149391.

GCF of Denominators means GCF of 279,857 as per the given fractions.

GCF of 279,857 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 297,1509

LCM of Fractions 297/279,1509/857 is 149391

3 297, 1509
99, 503

∴ So the LCM of the given numbers is 3 x 99 x 503 = 149391

Least Common Multiple of 297,1509 with GCF Formula

Least Common Multiple of 297,1509 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 297,1509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,1509) = 3

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

GCF(297,1509) x common factors =3 x 1 = 3

LCM(297,1509) = ( 297 × 1509 ) / 3

LCM(297,1509) = 448173 / 3

LCM(297,1509) = 149391


Lets's calculate GCF of 279,857

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149391/1

Therefore the LCM of Fractions 297/279,1509/857 is 149391

Greatest Common Factor of 279,857 By Matching Biggest Common Factor Method

Greatest Common Factor of 279,857 By Matching Biggest Common Factor Method

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Greatest Common Factor

We found the factors 279,857 . The biggest common factor number is the GCF number.
So the greatest common factor 279,857 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 297/279, 1509/857

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 297/279, 1509/857?

Answer: LCM of Numerators as per given numbers 297/279, 1509/857 is

LCM of Numerators i.e. for 297,1509 is 149391

GCF of denominators i.e. for 279,857 is 1.

Thus, LCM of Fractions is 149391.Finally, LCM of Fractions for 297/279, 1509/857 is 149391.