Least Common Multiple of 85/267, 270/962, 917/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/267, 270/962, 917/588 quickly i.e. 4209030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/267, 270/962, 917/588 is 4209030.

LCM(85/267, 270/962, 917/588) = 4209030

LCM of 85/267, 270/962, 917/588

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 85/267,270/962,917/588

Given numbers are 85/267,270/962,917/588

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 85,270,917

Least Common Multiple of Numerators i.e. LCM of 85,270,917 is 4209030.

GCF of Denominators means GCF of 267,962,588 as per the given fractions.

GCF of 267,962,588 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,270,917

LCM of Fractions 85/267,270/962,917/588 is 4209030

5 85, 270, 917
17, 54, 917

∴ So the LCM of the given numbers is 5 x 17 x 54 x 917 = 4209030

Least Common Multiple of 85,270,917 with GCF Formula

Least Common Multiple of 85,270,917 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 85,270,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,270,917) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(85,270,917) x common factors =1 x 5 = 5

LCM(85,270,917) = ( 85 × 270 × 917 ) / 5

LCM(85,270,917) = 21045150 / 5

LCM(85,270,917) = 4209030


Lets's calculate GCF of 267,962,588

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4209030/1

Therefore the LCM of Fractions 85/267,270/962,917/588 is 4209030

Greatest Common Factor of 267,962,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 267,962,588 By Matching Biggest Common Factor Method

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 267,962,588 . The biggest common factor number is the GCF number.
So the greatest common factor 267,962,588 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 85/267, 270/962, 917/588

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 85/267, 270/962, 917/588?

Answer: LCM of Numerators as per given numbers 85/267, 270/962, 917/588 is

LCM of Numerators i.e. for 85,270,917 is 4209030

GCF of denominators i.e. for 267,962,588 is 1.

Thus, LCM of Fractions is 4209030.Finally, LCM of Fractions for 85/267, 270/962, 917/588 is 4209030.