Least Common Multiple of 53/960, 109/318, 216/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/960, 109/318, 216/975 quickly i.e. 415944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/960, 109/318, 216/975 is 415944.

LCM(53/960, 109/318, 216/975) = 415944

LCM of 53/960, 109/318, 216/975

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 53/960,109/318,216/975

Given numbers are 53/960,109/318,216/975

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 53,109,216

Least Common Multiple of Numerators i.e. LCM of 53,109,216 is 1247832.

GCF of Denominators means GCF of 960,318,975 as per the given fractions.

GCF of 960,318,975 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,109,216

LCM of Fractions 53/960,109/318,216/975 is 415944

Given numbers has no common factors except 1. So, there LCM is their product i.e 1247832

Least Common Multiple of 53,109,216 with GCF Formula

Least Common Multiple of 53,109,216 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 53,109,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,109,216) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(53,109,216) x common factors =1 x 1 = 1

LCM(53,109,216) = ( 53 × 109 × 216 ) / 1

LCM(53,109,216) = 1247832 / 1

LCM(53,109,216) = 1247832


Lets's calculate GCF of 960,318,975

3 960, 318, 975
320, 106, 325

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1247832/3

Therefore the LCM of Fractions 53/960,109/318,216/975 is 415944

Greatest Common Factor of 960,318,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,318,975 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 960,318,975 . The biggest common factor number is the GCF number.
So the greatest common factor 960,318,975 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 53/960, 109/318, 216/975

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 53/960, 109/318, 216/975?

Answer: LCM of Numerators as per given numbers 53/960, 109/318, 216/975 is

LCM of Numerators i.e. for 53,109,216 is 1247832

GCF of denominators i.e. for 960,318,975 is 3.

Thus, LCM of Fractions is 415944.Finally, LCM of Fractions for 53/960, 109/318, 216/975 is 415944.