Least Common Multiple of 279/16, 501/9658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 279/16, 501/9658 quickly i.e. 46593/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 279/16, 501/9658 is 46593/2.

LCM(279/16, 501/9658) = 46593/2

LCM of 279/16, 501/9658

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 279/16,501/9658

Given numbers are 279/16,501/9658

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 279,501

Least Common Multiple of Numerators i.e. LCM of 279,501 is 46593.

GCF of Denominators means GCF of 16,9658 as per the given fractions.

GCF of 16,9658 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 279,501

LCM of Fractions 279/16,501/9658 is 46593/2

3 279, 501
93, 167

∴ So the LCM of the given numbers is 3 x 93 x 167 = 46593

Least Common Multiple of 279,501 with GCF Formula

Least Common Multiple of 279,501 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 279,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,501) = 3

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

GCF(279,501) x common factors =3 x 1 = 3

LCM(279,501) = ( 279 × 501 ) / 3

LCM(279,501) = 139779 / 3

LCM(279,501) = 46593


Lets's calculate GCF of 16,9658

2 16, 9658
8, 4829

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46593/2

Therefore the LCM of Fractions 279/16,501/9658 is 46593/2

Greatest Common Factor of 16,9658 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,9658 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 9658

List of positive integer factors of 9658 that divides 9658 without a remainder.

1,2,11,22,439,878,4829,9658

Greatest Common Factor

We found the factors 16,9658 . The biggest common factor number is the GCF number.
So the greatest common factor 16,9658 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 279/16, 501/9658

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 279/16, 501/9658?

Answer: LCM of Numerators as per given numbers 279/16, 501/9658 is

LCM of Numerators i.e. for 279,501 is 46593

GCF of denominators i.e. for 16,9658 is 2.

Thus, LCM of Fractions is 46593/2.Finally, LCM of Fractions for 279/16, 501/9658 is 46593/2.