Least Common Multiple of 952/71, 986/22, 400/53

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 952/71, 986/22, 400/53 quickly i.e. 1380400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 952/71, 986/22, 400/53 is 1380400.

LCM(952/71, 986/22, 400/53) = 1380400

LCM of 952/71, 986/22, 400/53

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 952/71,986/22,400/53

Given numbers are 952/71,986/22,400/53

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 952,986,400

Least Common Multiple of Numerators i.e. LCM of 952,986,400 is 1380400.

GCF of Denominators means GCF of 71,22,53 as per the given fractions.

GCF of 71,22,53 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 952,986,400

LCM of Fractions 952/71,986/22,400/53 is 1380400

2 952, 986, 400
2 476, 493, 200
2 238, 493, 100
17 119, 493, 50
7, 29, 50

∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 7 x 29 x 50 = 1380400

Least Common Multiple of 952,986,400 with GCF Formula

Least Common Multiple of 952,986,400 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 952,986,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,986,400) = 2

common factors(in case of two or more numbers have common factors) = 136

GCF(952,986,400) x common factors =2 x 136 = 272

LCM(952,986,400) = ( 952 × 986 × 400 ) / 272

LCM(952,986,400) = 375468800 / 272

LCM(952,986,400) = 1380400


Lets's calculate GCF of 71,22,53

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1380400/1

Therefore the LCM of Fractions 952/71,986/22,400/53 is 1380400

Greatest Common Factor of 71,22,53 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,22,53 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 22

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

1,2,11,22

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Greatest Common Factor

We found the factors 71,22,53 . The biggest common factor number is the GCF number.
So the greatest common factor 71,22,53 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 952/71, 986/22, 400/53

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 952/71, 986/22, 400/53?

Answer: LCM of Numerators as per given numbers 952/71, 986/22, 400/53 is

LCM of Numerators i.e. for 952,986,400 is 1380400

GCF of denominators i.e. for 71,22,53 is 1.

Thus, LCM of Fractions is 1380400.Finally, LCM of Fractions for 952/71, 986/22, 400/53 is 1380400.