Least Common Multiple of 108/35, 511/1466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 108/35, 511/1466 quickly i.e. 55188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 108/35, 511/1466 is 55188.

LCM(108/35, 511/1466) = 55188

LCM of 108/35, 511/1466

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 108/35,511/1466

Given numbers are 108/35,511/1466

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 108,511

Least Common Multiple of Numerators i.e. LCM of 108,511 is 55188.

GCF of Denominators means GCF of 35,1466 as per the given fractions.

GCF of 35,1466 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 108,511

LCM of Fractions 108/35,511/1466 is 55188

Given numbers has no common factors except 1. So, there LCM is their product i.e 55188

Least Common Multiple of 108,511 with GCF Formula

Least Common Multiple of 108,511 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 108,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,511) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(108,511) x common factors =1 x 1 = 1

LCM(108,511) = ( 108 × 511 ) / 1

LCM(108,511) = 55188 / 1

LCM(108,511) = 55188


Lets's calculate GCF of 35,1466

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55188/1

Therefore the LCM of Fractions 108/35,511/1466 is 55188

Greatest Common Factor of 35,1466 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,1466 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 1466

List of positive integer factors of 1466 that divides 1466 without a remainder.

1,2,733,1466

Greatest Common Factor

We found the factors 35,1466 . The biggest common factor number is the GCF number.
So the greatest common factor 35,1466 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 108/35, 511/1466

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 108/35, 511/1466?

Answer: LCM of Numerators as per given numbers 108/35, 511/1466 is

LCM of Numerators i.e. for 108,511 is 55188

GCF of denominators i.e. for 35,1466 is 1.

Thus, LCM of Fractions is 55188.Finally, LCM of Fractions for 108/35, 511/1466 is 55188.