Least Common Multiple of 85/151, 87/945, 697/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 85/151, 87/945, 697/891 quickly i.e. 303195 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/151, 87/945, 697/891 is 303195.

LCM(85/151, 87/945, 697/891) = 303195

LCM of 85/151, 87/945, 697/891

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 85/151,87/945,697/891

Given numbers are 85/151,87/945,697/891

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 85,87,697

Least Common Multiple of Numerators i.e. LCM of 85,87,697 is 303195.

GCF of Denominators means GCF of 151,945,891 as per the given fractions.

GCF of 151,945,891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,87,697

LCM of Fractions 85/151,87/945,697/891 is 303195

17 85, 87, 697
5, 87, 41

∴ So the LCM of the given numbers is 17 x 5 x 87 x 41 = 303195

Least Common Multiple of 85,87,697 with GCF Formula

Least Common Multiple of 85,87,697 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 85,87,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,87,697) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(85,87,697) x common factors =1 x 17 = 17

LCM(85,87,697) = ( 85 × 87 × 697 ) / 17

LCM(85,87,697) = 5154315 / 17

LCM(85,87,697) = 303195


Lets's calculate GCF of 151,945,891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 303195/1

Therefore the LCM of Fractions 85/151,87/945,697/891 is 303195

Greatest Common Factor of 151,945,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 151,945,891 By Matching Biggest Common Factor Method

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 151,945,891 . The biggest common factor number is the GCF number.
So the greatest common factor 151,945,891 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 85/151, 87/945, 697/891

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 85/151, 87/945, 697/891?

Answer: LCM of Numerators as per given numbers 85/151, 87/945, 697/891 is

LCM of Numerators i.e. for 85,87,697 is 303195

GCF of denominators i.e. for 151,945,891 is 1.

Thus, LCM of Fractions is 303195.Finally, LCM of Fractions for 85/151, 87/945, 697/891 is 303195.