Least Common Multiple of 279/20, 530/68, 730/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 279/20, 530/68, 730/961 quickly i.e. 10794510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 279/20, 530/68, 730/961 is 10794510.

LCM(279/20, 530/68, 730/961) = 10794510

LCM of 279/20, 530/68, 730/961

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 279/20,530/68,730/961

Given numbers are 279/20,530/68,730/961

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 279,530,730

Least Common Multiple of Numerators i.e. LCM of 279,530,730 is 10794510.

GCF of Denominators means GCF of 20,68,961 as per the given fractions.

GCF of 20,68,961 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 279,530,730

LCM of Fractions 279/20,530/68,730/961 is 10794510

2 279, 530, 730
5 279, 265, 365
279, 53, 73

∴ So the LCM of the given numbers is 2 x 5 x 279 x 53 x 73 = 10794510

Least Common Multiple of 279,530,730 with GCF Formula

Least Common Multiple of 279,530,730 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 279,530,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,530,730) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(279,530,730) x common factors =1 x 10 = 10

LCM(279,530,730) = ( 279 × 530 × 730 ) / 10

LCM(279,530,730) = 107945100 / 10

LCM(279,530,730) = 10794510


Lets's calculate GCF of 20,68,961

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10794510/1

Therefore the LCM of Fractions 279/20,530/68,730/961 is 10794510

Greatest Common Factor of 20,68,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,68,961 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Greatest Common Factor

We found the factors 20,68,961 . The biggest common factor number is the GCF number.
So the greatest common factor 20,68,961 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 279/20, 530/68, 730/961

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 279/20, 530/68, 730/961?

Answer: LCM of Numerators as per given numbers 279/20, 530/68, 730/961 is

LCM of Numerators i.e. for 279,530,730 is 10794510

GCF of denominators i.e. for 20,68,961 is 1.

Thus, LCM of Fractions is 10794510.Finally, LCM of Fractions for 279/20, 530/68, 730/961 is 10794510.