Least Common Multiple of 972/465, 384/959, 306/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 972/465, 384/959, 306/400 quickly i.e. 528768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/465, 384/959, 306/400 is 528768.

LCM(972/465, 384/959, 306/400) = 528768

LCM of 972/465, 384/959, 306/400

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 972/465,384/959,306/400

Given numbers are 972/465,384/959,306/400

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 972,384,306

Least Common Multiple of Numerators i.e. LCM of 972,384,306 is 528768.

GCF of Denominators means GCF of 465,959,400 as per the given fractions.

GCF of 465,959,400 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,384,306

LCM of Fractions 972/465,384/959,306/400 is 528768

2 972, 384, 306
2 486, 192, 153
3 243, 96, 153
3 81, 32, 51
27, 32, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 27 x 32 x 17 = 528768

Least Common Multiple of 972,384,306 with GCF Formula

Least Common Multiple of 972,384,306 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 972,384,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,384,306) = 6

common factors(in case of two or more numbers have common factors) = 36

GCF(972,384,306) x common factors =6 x 36 = 216

LCM(972,384,306) = ( 972 × 384 × 306 ) / 216

LCM(972,384,306) = 114213888 / 216

LCM(972,384,306) = 528768


Lets's calculate GCF of 465,959,400

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 528768/1

Therefore the LCM of Fractions 972/465,384/959,306/400 is 528768

Greatest Common Factor of 465,959,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,959,400 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 465,959,400 . The biggest common factor number is the GCF number.
So the greatest common factor 465,959,400 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 972/465, 384/959, 306/400

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 972/465, 384/959, 306/400?

Answer: LCM of Numerators as per given numbers 972/465, 384/959, 306/400 is

LCM of Numerators i.e. for 972,384,306 is 528768

GCF of denominators i.e. for 465,959,400 is 1.

Thus, LCM of Fractions is 528768.Finally, LCM of Fractions for 972/465, 384/959, 306/400 is 528768.