Least Common Multiple of 21/636, 70/221, 290/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/636, 70/221, 290/897 quickly i.e. 6090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/636, 70/221, 290/897 is 6090.

LCM(21/636, 70/221, 290/897) = 6090

LCM of 21/636, 70/221, 290/897

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 21/636,70/221,290/897

Given numbers are 21/636,70/221,290/897

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 21,70,290

Least Common Multiple of Numerators i.e. LCM of 21,70,290 is 6090.

GCF of Denominators means GCF of 636,221,897 as per the given fractions.

GCF of 636,221,897 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,70,290

LCM of Fractions 21/636,70/221,290/897 is 6090

2 21, 70, 290
5 21, 35, 145
7 21, 7, 29
3, 1, 29

∴ So the LCM of the given numbers is 2 x 5 x 7 x 3 x 1 x 29 = 6090

Least Common Multiple of 21,70,290 with GCF Formula

Least Common Multiple of 21,70,290 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 21,70,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,70,290) = 1

common factors(in case of two or more numbers have common factors) = 70

GCF(21,70,290) x common factors =1 x 70 = 70

LCM(21,70,290) = ( 21 × 70 × 290 ) / 70

LCM(21,70,290) = 426300 / 70

LCM(21,70,290) = 6090


Lets's calculate GCF of 636,221,897

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6090/1

Therefore the LCM of Fractions 21/636,70/221,290/897 is 6090

Greatest Common Factor of 636,221,897 By Matching Biggest Common Factor Method

Greatest Common Factor of 636,221,897 By Matching Biggest Common Factor Method

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors 636,221,897 . The biggest common factor number is the GCF number.
So the greatest common factor 636,221,897 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 21/636, 70/221, 290/897

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 21/636, 70/221, 290/897?

Answer: LCM of Numerators as per given numbers 21/636, 70/221, 290/897 is

LCM of Numerators i.e. for 21,70,290 is 6090

GCF of denominators i.e. for 636,221,897 is 1.

Thus, LCM of Fractions is 6090.Finally, LCM of Fractions for 21/636, 70/221, 290/897 is 6090.