Least Common Multiple of 22/40, 966/65, 900/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/40, 966/65, 900/332 quickly i.e. 1593900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/40, 966/65, 900/332 is 1593900.

LCM(22/40, 966/65, 900/332) = 1593900

LCM of 22/40, 966/65, 900/332

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 22/40,966/65,900/332

Given numbers are 22/40,966/65,900/332

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 22,966,900

Least Common Multiple of Numerators i.e. LCM of 22,966,900 is 1593900.

GCF of Denominators means GCF of 40,65,332 as per the given fractions.

GCF of 40,65,332 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,966,900

LCM of Fractions 22/40,966/65,900/332 is 1593900

2 22, 966, 900
3 11, 483, 450
11, 161, 150

∴ So the LCM of the given numbers is 2 x 3 x 11 x 161 x 150 = 1593900

Least Common Multiple of 22,966,900 with GCF Formula

Least Common Multiple of 22,966,900 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 22,966,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,966,900) = 2

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

GCF(22,966,900) x common factors =2 x 6 = 12

LCM(22,966,900) = ( 22 × 966 × 900 ) / 12

LCM(22,966,900) = 19126800 / 12

LCM(22,966,900) = 1593900


Lets's calculate GCF of 40,65,332

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1593900/1

Therefore the LCM of Fractions 22/40,966/65,900/332 is 1593900

Greatest Common Factor of 40,65,332 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,65,332 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors 40,65,332 . The biggest common factor number is the GCF number.
So the greatest common factor 40,65,332 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 22/40, 966/65, 900/332

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 22/40, 966/65, 900/332?

Answer: LCM of Numerators as per given numbers 22/40, 966/65, 900/332 is

LCM of Numerators i.e. for 22,966,900 is 1593900

GCF of denominators i.e. for 40,65,332 is 1.

Thus, LCM of Fractions is 1593900.Finally, LCM of Fractions for 22/40, 966/65, 900/332 is 1593900.