Least Common Multiple of 53/50, 64/960, 860/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/50, 64/960, 860/922 quickly i.e. 364640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/50, 64/960, 860/922 is 364640.

LCM(53/50, 64/960, 860/922) = 364640

LCM of 53/50, 64/960, 860/922

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 53/50,64/960,860/922

Given numbers are 53/50,64/960,860/922

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 53,64,860

Least Common Multiple of Numerators i.e. LCM of 53,64,860 is 729280.

GCF of Denominators means GCF of 50,960,922 as per the given fractions.

GCF of 50,960,922 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,64,860

LCM of Fractions 53/50,64/960,860/922 is 364640

2 53, 64, 860
2 53, 32, 430
53, 16, 215

∴ So the LCM of the given numbers is 2 x 2 x 53 x 16 x 215 = 729280

Least Common Multiple of 53,64,860 with GCF Formula

Least Common Multiple of 53,64,860 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 53,64,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,64,860) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(53,64,860) x common factors =1 x 4 = 4

LCM(53,64,860) = ( 53 × 64 × 860 ) / 4

LCM(53,64,860) = 2917120 / 4

LCM(53,64,860) = 729280


Lets's calculate GCF of 50,960,922

2 50, 960, 922
25, 480, 461

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 729280/2

Therefore the LCM of Fractions 53/50,64/960,860/922 is 364640

Greatest Common Factor of 50,960,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,960,922 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

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 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 50,960,922 . The biggest common factor number is the GCF number.
So the greatest common factor 50,960,922 is 2.


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 53/50, 64/960, 860/922

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 53/50, 64/960, 860/922?

Answer: LCM of Numerators as per given numbers 53/50, 64/960, 860/922 is

LCM of Numerators i.e. for 53,64,860 is 729280

GCF of denominators i.e. for 50,960,922 is 2.

Thus, LCM of Fractions is 364640.Finally, LCM of Fractions for 53/50, 64/960, 860/922 is 364640.