Least Common Multiple of 85/595, 632/631, 255/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/595, 632/631, 255/686 quickly i.e. 161160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/595, 632/631, 255/686 is 161160.

LCM(85/595, 632/631, 255/686) = 161160

LCM of 85/595, 632/631, 255/686

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 85/595,632/631,255/686

Given numbers are 85/595,632/631,255/686

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 85,632,255

Least Common Multiple of Numerators i.e. LCM of 85,632,255 is 161160.

GCF of Denominators means GCF of 595,631,686 as per the given fractions.

GCF of 595,631,686 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,632,255

LCM of Fractions 85/595,632/631,255/686 is 161160

5 85, 632, 255
17 17, 632, 51
1, 632, 3

∴ So the LCM of the given numbers is 5 x 17 x 1 x 632 x 3 = 161160

Least Common Multiple of 85,632,255 with GCF Formula

Least Common Multiple of 85,632,255 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 85,632,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,632,255) = 1

common factors(in case of two or more numbers have common factors) = 85

GCF(85,632,255) x common factors =1 x 85 = 85

LCM(85,632,255) = ( 85 × 632 × 255 ) / 85

LCM(85,632,255) = 13698600 / 85

LCM(85,632,255) = 161160


Lets's calculate GCF of 595,631,686

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161160/1

Therefore the LCM of Fractions 85/595,632/631,255/686 is 161160

Greatest Common Factor of 595,631,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,631,686 By Matching Biggest Common Factor Method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 595,631,686 . The biggest common factor number is the GCF number.
So the greatest common factor 595,631,686 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 85/595, 632/631, 255/686

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 85/595, 632/631, 255/686?

Answer: LCM of Numerators as per given numbers 85/595, 632/631, 255/686 is

LCM of Numerators i.e. for 85,632,255 is 161160

GCF of denominators i.e. for 595,631,686 is 1.

Thus, LCM of Fractions is 161160.Finally, LCM of Fractions for 85/595, 632/631, 255/686 is 161160.