Least Common Multiple of 21/565, 60/965, 739/291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/565, 60/965, 739/291 quickly i.e. 310380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/565, 60/965, 739/291 is 310380.

LCM(21/565, 60/965, 739/291) = 310380

LCM of 21/565, 60/965, 739/291

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 21/565,60/965,739/291

Given numbers are 21/565,60/965,739/291

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 21,60,739

Least Common Multiple of Numerators i.e. LCM of 21,60,739 is 310380.

GCF of Denominators means GCF of 565,965,291 as per the given fractions.

GCF of 565,965,291 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,60,739

LCM of Fractions 21/565,60/965,739/291 is 310380

3 21, 60, 739
7, 20, 739

∴ So the LCM of the given numbers is 3 x 7 x 20 x 739 = 310380

Least Common Multiple of 21,60,739 with GCF Formula

Least Common Multiple of 21,60,739 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 21,60,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,60,739) = 1

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

GCF(21,60,739) x common factors =1 x 3 = 3

LCM(21,60,739) = ( 21 × 60 × 739 ) / 3

LCM(21,60,739) = 931140 / 3

LCM(21,60,739) = 310380


Lets's calculate GCF of 565,965,291

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 310380/1

Therefore the LCM of Fractions 21/565,60/965,739/291 is 310380

Greatest Common Factor of 565,965,291 By Matching Biggest Common Factor Method

Greatest Common Factor of 565,965,291 By Matching Biggest Common Factor Method

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Greatest Common Factor

We found the factors 565,965,291 . The biggest common factor number is the GCF number.
So the greatest common factor 565,965,291 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 21/565, 60/965, 739/291

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 21/565, 60/965, 739/291?

Answer: LCM of Numerators as per given numbers 21/565, 60/965, 739/291 is

LCM of Numerators i.e. for 21,60,739 is 310380

GCF of denominators i.e. for 565,965,291 is 1.

Thus, LCM of Fractions is 310380.Finally, LCM of Fractions for 21/565, 60/965, 739/291 is 310380.