Least Common Multiple of 561/85, 111/64, 851/652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 561/85, 111/64, 851/652 quickly i.e. 477411 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 561/85, 111/64, 851/652 is 477411.

LCM(561/85, 111/64, 851/652) = 477411

LCM of 561/85, 111/64, 851/652

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 561/85,111/64,851/652

Given numbers are 561/85,111/64,851/652

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 561,111,851

Least Common Multiple of Numerators i.e. LCM of 561,111,851 is 477411.

GCF of Denominators means GCF of 85,64,652 as per the given fractions.

GCF of 85,64,652 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 561,111,851

LCM of Fractions 561/85,111/64,851/652 is 477411

3 561, 111, 851
37 187, 37, 851
187, 1, 23

∴ So the LCM of the given numbers is 3 x 37 x 187 x 1 x 23 = 477411

Least Common Multiple of 561,111,851 with GCF Formula

Least Common Multiple of 561,111,851 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 561,111,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,111,851) = 1

common factors(in case of two or more numbers have common factors) = 111

GCF(561,111,851) x common factors =1 x 111 = 111

LCM(561,111,851) = ( 561 × 111 × 851 ) / 111

LCM(561,111,851) = 52992621 / 111

LCM(561,111,851) = 477411


Lets's calculate GCF of 85,64,652

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 477411/1

Therefore the LCM of Fractions 561/85,111/64,851/652 is 477411

Greatest Common Factor of 85,64,652 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,64,652 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Greatest Common Factor

We found the factors 85,64,652 . The biggest common factor number is the GCF number.
So the greatest common factor 85,64,652 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 561/85, 111/64, 851/652

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 561/85, 111/64, 851/652?

Answer: LCM of Numerators as per given numbers 561/85, 111/64, 851/652 is

LCM of Numerators i.e. for 561,111,851 is 477411

GCF of denominators i.e. for 85,64,652 is 1.

Thus, LCM of Fractions is 477411.Finally, LCM of Fractions for 561/85, 111/64, 851/652 is 477411.