Least Common Multiple of 21/389, 90/972, 318/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/389, 90/972, 318/695 quickly i.e. 33390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/389, 90/972, 318/695 is 33390.

LCM(21/389, 90/972, 318/695) = 33390

LCM of 21/389, 90/972, 318/695

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 21/389,90/972,318/695

Given numbers are 21/389,90/972,318/695

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 21,90,318

Least Common Multiple of Numerators i.e. LCM of 21,90,318 is 33390.

GCF of Denominators means GCF of 389,972,695 as per the given fractions.

GCF of 389,972,695 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,90,318

LCM of Fractions 21/389,90/972,318/695 is 33390

2 21, 90, 318
3 21, 45, 159
7, 15, 53

∴ So the LCM of the given numbers is 2 x 3 x 7 x 15 x 53 = 33390

Least Common Multiple of 21,90,318 with GCF Formula

Least Common Multiple of 21,90,318 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 21,90,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,90,318) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(21,90,318) x common factors =3 x 6 = 18

LCM(21,90,318) = ( 21 × 90 × 318 ) / 18

LCM(21,90,318) = 601020 / 18

LCM(21,90,318) = 33390


Lets's calculate GCF of 389,972,695

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33390/1

Therefore the LCM of Fractions 21/389,90/972,318/695 is 33390

Greatest Common Factor of 389,972,695 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,972,695 By Matching Biggest Common Factor Method

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Greatest Common Factor

We found the factors 389,972,695 . The biggest common factor number is the GCF number.
So the greatest common factor 389,972,695 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 21/389, 90/972, 318/695

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 21/389, 90/972, 318/695?

Answer: LCM of Numerators as per given numbers 21/389, 90/972, 318/695 is

LCM of Numerators i.e. for 21,90,318 is 33390

GCF of denominators i.e. for 389,972,695 is 1.

Thus, LCM of Fractions is 33390.Finally, LCM of Fractions for 21/389, 90/972, 318/695 is 33390.