Least Common Multiple of 618/618, 114/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 618/618, 114/477 quickly i.e. 3914 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 618/618, 114/477 is 3914.

LCM(618/618, 114/477) = 3914

LCM of 618/618, 114/477

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 618/618,114/477

Given numbers are 618/618,114/477

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 618,114

Least Common Multiple of Numerators i.e. LCM of 618,114 is 11742.

GCF of Denominators means GCF of 618,477 as per the given fractions.

GCF of 618,477 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 618,114

LCM of Fractions 618/618,114/477 is 3914

2 618, 114
3 309, 57
103, 19

∴ So the LCM of the given numbers is 2 x 3 x 103 x 19 = 11742

Least Common Multiple of 618,114 with GCF Formula

Least Common Multiple of 618,114 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 618,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,114) = 6

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

GCF(618,114) x common factors =6 x 1 = 6

LCM(618,114) = ( 618 × 114 ) / 6

LCM(618,114) = 70452 / 6

LCM(618,114) = 11742


Lets's calculate GCF of 618,477

3 618, 477
206, 159

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11742/3

Therefore the LCM of Fractions 618/618,114/477 is 3914

Greatest Common Factor of 618,477 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,477 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Greatest Common Factor

We found the factors 618,477 . The biggest common factor number is the GCF number.
So the greatest common factor 618,477 is 3.


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 618/618, 114/477

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 618/618, 114/477?

Answer: LCM of Numerators as per given numbers 618/618, 114/477 is

LCM of Numerators i.e. for 618,114 is 11742

GCF of denominators i.e. for 618,477 is 3.

Thus, LCM of Fractions is 3914.Finally, LCM of Fractions for 618/618, 114/477 is 3914.