Least Common Multiple of 110/539, 270/317, 837/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 110/539, 270/317, 837/792 quickly i.e. 92070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 110/539, 270/317, 837/792 is 92070.

LCM(110/539, 270/317, 837/792) = 92070

LCM of 110/539, 270/317, 837/792

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 110/539,270/317,837/792

Given numbers are 110/539,270/317,837/792

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 110,270,837

Least Common Multiple of Numerators i.e. LCM of 110,270,837 is 92070.

GCF of Denominators means GCF of 539,317,792 as per the given fractions.

GCF of 539,317,792 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 110,270,837

LCM of Fractions 110/539,270/317,837/792 is 92070

2 110, 270, 837
3 55, 135, 837
3 55, 45, 279
3 55, 15, 93
5 55, 5, 31
11, 1, 31

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 5 x 11 x 1 x 31 = 92070

Least Common Multiple of 110,270,837 with GCF Formula

Least Common Multiple of 110,270,837 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 110,270,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(110,270,837) = 1

common factors(in case of two or more numbers have common factors) = 270

GCF(110,270,837) x common factors =1 x 270 = 270

LCM(110,270,837) = ( 110 × 270 × 837 ) / 270

LCM(110,270,837) = 24858900 / 270

LCM(110,270,837) = 92070


Lets's calculate GCF of 539,317,792

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92070/1

Therefore the LCM of Fractions 110/539,270/317,837/792 is 92070

Greatest Common Factor of 539,317,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 539,317,792 By Matching Biggest Common Factor Method

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 539,317,792 . The biggest common factor number is the GCF number.
So the greatest common factor 539,317,792 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 110/539, 270/317, 837/792

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 110/539, 270/317, 837/792?

Answer: LCM of Numerators as per given numbers 110/539, 270/317, 837/792 is

LCM of Numerators i.e. for 110,270,837 is 92070

GCF of denominators i.e. for 539,317,792 is 1.

Thus, LCM of Fractions is 92070.Finally, LCM of Fractions for 110/539, 270/317, 837/792 is 92070.