Least Common Multiple of 971/63, 512/31, 400/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 971/63, 512/31, 400/200 quickly i.e. 12428800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 971/63, 512/31, 400/200 is 12428800.

LCM(971/63, 512/31, 400/200) = 12428800

LCM of 971/63, 512/31, 400/200

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 971/63,512/31,400/200

Given numbers are 971/63,512/31,400/200

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 971,512,400

Least Common Multiple of Numerators i.e. LCM of 971,512,400 is 12428800.

GCF of Denominators means GCF of 63,31,200 as per the given fractions.

GCF of 63,31,200 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 971,512,400

LCM of Fractions 971/63,512/31,400/200 is 12428800

2 971, 512, 400
2 971, 256, 200
2 971, 128, 100
2 971, 64, 50
971, 32, 25

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 971 x 32 x 25 = 12428800

Least Common Multiple of 971,512,400 with GCF Formula

Least Common Multiple of 971,512,400 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 971,512,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,512,400) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(971,512,400) x common factors =1 x 16 = 16

LCM(971,512,400) = ( 971 × 512 × 400 ) / 16

LCM(971,512,400) = 198860800 / 16

LCM(971,512,400) = 12428800


Lets's calculate GCF of 63,31,200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12428800/1

Therefore the LCM of Fractions 971/63,512/31,400/200 is 12428800

Greatest Common Factor of 63,31,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,31,200 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 63,31,200 . The biggest common factor number is the GCF number.
So the greatest common factor 63,31,200 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 971/63, 512/31, 400/200

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 971/63, 512/31, 400/200?

Answer: LCM of Numerators as per given numbers 971/63, 512/31, 400/200 is

LCM of Numerators i.e. for 971,512,400 is 12428800

GCF of denominators i.e. for 63,31,200 is 1.

Thus, LCM of Fractions is 12428800.Finally, LCM of Fractions for 971/63, 512/31, 400/200 is 12428800.