Least Common Multiple of 22/201, 177/717, 376/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/201, 177/717, 376/870 quickly i.e. 244024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/201, 177/717, 376/870 is 244024.

LCM(22/201, 177/717, 376/870) = 244024

LCM of 22/201, 177/717, 376/870

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 22/201,177/717,376/870

Given numbers are 22/201,177/717,376/870

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 22,177,376

Least Common Multiple of Numerators i.e. LCM of 22,177,376 is 732072.

GCF of Denominators means GCF of 201,717,870 as per the given fractions.

GCF of 201,717,870 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,177,376

LCM of Fractions 22/201,177/717,376/870 is 244024

2 22, 177, 376
11, 177, 188

∴ So the LCM of the given numbers is 2 x 11 x 177 x 188 = 732072

Least Common Multiple of 22,177,376 with GCF Formula

Least Common Multiple of 22,177,376 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 22,177,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,177,376) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(22,177,376) x common factors =1 x 2 = 2

LCM(22,177,376) = ( 22 × 177 × 376 ) / 2

LCM(22,177,376) = 1464144 / 2

LCM(22,177,376) = 732072


Lets's calculate GCF of 201,717,870

3 201, 717, 870
67, 239, 290

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 732072/3

Therefore the LCM of Fractions 22/201,177/717,376/870 is 244024

Greatest Common Factor of 201,717,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 201,717,870 By Matching Biggest Common Factor Method

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 201,717,870 . The biggest common factor number is the GCF number.
So the greatest common factor 201,717,870 is 3.


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 22/201, 177/717, 376/870

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 22/201, 177/717, 376/870?

Answer: LCM of Numerators as per given numbers 22/201, 177/717, 376/870 is

LCM of Numerators i.e. for 22,177,376 is 732072

GCF of denominators i.e. for 201,717,870 is 3.

Thus, LCM of Fractions is 244024.Finally, LCM of Fractions for 22/201, 177/717, 376/870 is 244024.