Least Common Multiple of 21/562, 57/753, 269/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/562, 57/753, 269/406 quickly i.e. 107331 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/562, 57/753, 269/406 is 107331.

LCM(21/562, 57/753, 269/406) = 107331

LCM of 21/562, 57/753, 269/406

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 21/562,57/753,269/406

Given numbers are 21/562,57/753,269/406

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 21,57,269

Least Common Multiple of Numerators i.e. LCM of 21,57,269 is 107331.

GCF of Denominators means GCF of 562,753,406 as per the given fractions.

GCF of 562,753,406 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,57,269

LCM of Fractions 21/562,57/753,269/406 is 107331

3 21, 57, 269
7, 19, 269

∴ So the LCM of the given numbers is 3 x 7 x 19 x 269 = 107331

Least Common Multiple of 21,57,269 with GCF Formula

Least Common Multiple of 21,57,269 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 21,57,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,57,269) = 1

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

GCF(21,57,269) x common factors =1 x 3 = 3

LCM(21,57,269) = ( 21 × 57 × 269 ) / 3

LCM(21,57,269) = 321993 / 3

LCM(21,57,269) = 107331


Lets's calculate GCF of 562,753,406

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107331/1

Therefore the LCM of Fractions 21/562,57/753,269/406 is 107331

Greatest Common Factor of 562,753,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,753,406 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 562,753,406 . The biggest common factor number is the GCF number.
So the greatest common factor 562,753,406 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 21/562, 57/753, 269/406

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 21/562, 57/753, 269/406?

Answer: LCM of Numerators as per given numbers 21/562, 57/753, 269/406 is

LCM of Numerators i.e. for 21,57,269 is 107331

GCF of denominators i.e. for 562,753,406 is 1.

Thus, LCM of Fractions is 107331.Finally, LCM of Fractions for 21/562, 57/753, 269/406 is 107331.