Least Common Multiple of 85/57, 21/64, 15/60, 89/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/57, 21/64, 15/60, 89/563 quickly i.e. 158865 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/57, 21/64, 15/60, 89/563 is 158865.

LCM(85/57, 21/64, 15/60, 89/563) = 158865

LCM of 85/57, 21/64, 15/60, 89/563

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 85/57,21/64,15/60,89/563

Given numbers are 85/57,21/64,15/60,89/563

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 85,21,15,89

Least Common Multiple of Numerators i.e. LCM of 85,21,15,89 is 158865.

GCF of Denominators means GCF of 57,64,60,563 as per the given fractions.

GCF of 57,64,60,563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,21,15,89

LCM of Fractions 85/57,21/64,15/60,89/563 is 158865

3 85, 21, 15, 89
5 85, 7, 5, 89
17, 7, 1, 89

∴ So the LCM of the given numbers is 3 x 5 x 17 x 7 x 1 x 89 = 158865

Least Common Multiple of 85,21,15,89 with GCF Formula

Least Common Multiple of 85,21,15,89 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 85,21,15,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,21,15,89) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(85,21,15,89) x common factors =1 x 15 = 15

LCM(85,21,15,89) = ( 85 × 21 × 15 × 89 ) / 15

LCM(85,21,15,89) = 2382975 / 15

LCM(85,21,15,89) = 158865


Lets's calculate GCF of 57,64,60,563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158865/1

Therefore the LCM of Fractions 85/57,21/64,15/60,89/563 is 158865

Greatest Common Factor of 57,64,60,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,64,60,563 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

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 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 57,64,60,563 . The biggest common factor number is the GCF number.
So the greatest common factor 57,64,60,563 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 85/57, 21/64, 15/60, 89/563

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 85/57, 21/64, 15/60, 89/563?

Answer: LCM of Numerators as per given numbers 85/57, 21/64, 15/60, 89/563 is

LCM of Numerators i.e. for 85,21,15,89 is 158865

GCF of denominators i.e. for 57,64,60,563 is 1.

Thus, LCM of Fractions is 158865.Finally, LCM of Fractions for 85/57, 21/64, 15/60, 89/563 is 158865.