Least Common Multiple of 45/254, 20/511, 182/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/254, 20/511, 182/117 quickly i.e. 16380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/254, 20/511, 182/117 is 16380.

LCM(45/254, 20/511, 182/117) = 16380

LCM of 45/254, 20/511, 182/117

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 45/254,20/511,182/117

Given numbers are 45/254,20/511,182/117

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 45,20,182

Least Common Multiple of Numerators i.e. LCM of 45,20,182 is 16380.

GCF of Denominators means GCF of 254,511,117 as per the given fractions.

GCF of 254,511,117 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,20,182

LCM of Fractions 45/254,20/511,182/117 is 16380

2 45, 20, 182
5 45, 10, 91
9, 2, 91

∴ So the LCM of the given numbers is 2 x 5 x 9 x 2 x 91 = 16380

Least Common Multiple of 45,20,182 with GCF Formula

Least Common Multiple of 45,20,182 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 45,20,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,20,182) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(45,20,182) x common factors =1 x 10 = 10

LCM(45,20,182) = ( 45 × 20 × 182 ) / 10

LCM(45,20,182) = 163800 / 10

LCM(45,20,182) = 16380


Lets's calculate GCF of 254,511,117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16380/1

Therefore the LCM of Fractions 45/254,20/511,182/117 is 16380

Greatest Common Factor of 254,511,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,511,117 By Matching Biggest Common Factor Method

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 254,511,117 . The biggest common factor number is the GCF number.
So the greatest common factor 254,511,117 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 45/254, 20/511, 182/117

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 45/254, 20/511, 182/117?

Answer: LCM of Numerators as per given numbers 45/254, 20/511, 182/117 is

LCM of Numerators i.e. for 45,20,182 is 16380

GCF of denominators i.e. for 254,511,117 is 1.

Thus, LCM of Fractions is 16380.Finally, LCM of Fractions for 45/254, 20/511, 182/117 is 16380.