Least Common Multiple of 21/953, 283/604, 162/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/953, 283/604, 162/366 quickly i.e. 320922 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/953, 283/604, 162/366 is 320922.

LCM(21/953, 283/604, 162/366) = 320922

LCM of 21/953, 283/604, 162/366

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 21/953,283/604,162/366

Given numbers are 21/953,283/604,162/366

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 21,283,162

Least Common Multiple of Numerators i.e. LCM of 21,283,162 is 320922.

GCF of Denominators means GCF of 953,604,366 as per the given fractions.

GCF of 953,604,366 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,283,162

LCM of Fractions 21/953,283/604,162/366 is 320922

3 21, 283, 162
7, 283, 54

∴ So the LCM of the given numbers is 3 x 7 x 283 x 54 = 320922

Least Common Multiple of 21,283,162 with GCF Formula

Least Common Multiple of 21,283,162 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 21,283,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,283,162) = 1

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

GCF(21,283,162) x common factors =1 x 3 = 3

LCM(21,283,162) = ( 21 × 283 × 162 ) / 3

LCM(21,283,162) = 962766 / 3

LCM(21,283,162) = 320922


Lets's calculate GCF of 953,604,366

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 320922/1

Therefore the LCM of Fractions 21/953,283/604,162/366 is 320922

Greatest Common Factor of 953,604,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 953,604,366 By Matching Biggest Common Factor Method

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 953,604,366 . The biggest common factor number is the GCF number.
So the greatest common factor 953,604,366 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 21/953, 283/604, 162/366

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 21/953, 283/604, 162/366?

Answer: LCM of Numerators as per given numbers 21/953, 283/604, 162/366 is

LCM of Numerators i.e. for 21,283,162 is 320922

GCF of denominators i.e. for 953,604,366 is 1.

Thus, LCM of Fractions is 320922.Finally, LCM of Fractions for 21/953, 283/604, 162/366 is 320922.