Least Common Multiple of 23/966, 442/221, 117/902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/966, 442/221, 117/902 quickly i.e. 91494 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/966, 442/221, 117/902 is 91494.

LCM(23/966, 442/221, 117/902) = 91494

LCM of 23/966, 442/221, 117/902

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 23/966,442/221,117/902

Given numbers are 23/966,442/221,117/902

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 23,442,117

Least Common Multiple of Numerators i.e. LCM of 23,442,117 is 91494.

GCF of Denominators means GCF of 966,221,902 as per the given fractions.

GCF of 966,221,902 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,442,117

LCM of Fractions 23/966,442/221,117/902 is 91494

13 23, 442, 117
23, 34, 9

∴ So the LCM of the given numbers is 13 x 23 x 34 x 9 = 91494

Least Common Multiple of 23,442,117 with GCF Formula

Least Common Multiple of 23,442,117 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 23,442,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,442,117) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(23,442,117) x common factors =1 x 13 = 13

LCM(23,442,117) = ( 23 × 442 × 117 ) / 13

LCM(23,442,117) = 1189422 / 13

LCM(23,442,117) = 91494


Lets's calculate GCF of 966,221,902

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91494/1

Therefore the LCM of Fractions 23/966,442/221,117/902 is 91494

Greatest Common Factor of 966,221,902 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,221,902 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 221

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

1,13,17,221

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Greatest Common Factor

We found the factors 966,221,902 . The biggest common factor number is the GCF number.
So the greatest common factor 966,221,902 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 23/966, 442/221, 117/902

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 23/966, 442/221, 117/902?

Answer: LCM of Numerators as per given numbers 23/966, 442/221, 117/902 is

LCM of Numerators i.e. for 23,442,117 is 91494

GCF of denominators i.e. for 966,221,902 is 1.

Thus, LCM of Fractions is 91494.Finally, LCM of Fractions for 23/966, 442/221, 117/902 is 91494.