Least Common Multiple of 252/22, 727/88, 105/391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 252/22, 727/88, 105/391 quickly i.e. 916020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 252/22, 727/88, 105/391 is 916020.

LCM(252/22, 727/88, 105/391) = 916020

LCM of 252/22, 727/88, 105/391

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 252/22,727/88,105/391

Given numbers are 252/22,727/88,105/391

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 252,727,105

Least Common Multiple of Numerators i.e. LCM of 252,727,105 is 916020.

GCF of Denominators means GCF of 22,88,391 as per the given fractions.

GCF of 22,88,391 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 252,727,105

LCM of Fractions 252/22,727/88,105/391 is 916020

3 252, 727, 105
7 84, 727, 35
12, 727, 5

∴ So the LCM of the given numbers is 3 x 7 x 12 x 727 x 5 = 916020

Least Common Multiple of 252,727,105 with GCF Formula

Least Common Multiple of 252,727,105 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 252,727,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,727,105) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(252,727,105) x common factors =1 x 21 = 21

LCM(252,727,105) = ( 252 × 727 × 105 ) / 21

LCM(252,727,105) = 19236420 / 21

LCM(252,727,105) = 916020


Lets's calculate GCF of 22,88,391

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 916020/1

Therefore the LCM of Fractions 252/22,727/88,105/391 is 916020

Greatest Common Factor of 22,88,391 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,88,391 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Greatest Common Factor

We found the factors 22,88,391 . The biggest common factor number is the GCF number.
So the greatest common factor 22,88,391 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 252/22, 727/88, 105/391

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 252/22, 727/88, 105/391?

Answer: LCM of Numerators as per given numbers 252/22, 727/88, 105/391 is

LCM of Numerators i.e. for 252,727,105 is 916020

GCF of denominators i.e. for 22,88,391 is 1.

Thus, LCM of Fractions is 916020.Finally, LCM of Fractions for 252/22, 727/88, 105/391 is 916020.