Least Common Multiple of 60/483, 18/542, 977/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/483, 18/542, 977/618 quickly i.e. 175860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/483, 18/542, 977/618 is 175860.

LCM(60/483, 18/542, 977/618) = 175860

LCM of 60/483, 18/542, 977/618

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 60/483,18/542,977/618

Given numbers are 60/483,18/542,977/618

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 60,18,977

Least Common Multiple of Numerators i.e. LCM of 60,18,977 is 175860.

GCF of Denominators means GCF of 483,542,618 as per the given fractions.

GCF of 483,542,618 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,18,977

LCM of Fractions 60/483,18/542,977/618 is 175860

2 60, 18, 977
3 30, 9, 977
10, 3, 977

∴ So the LCM of the given numbers is 2 x 3 x 10 x 3 x 977 = 175860

Least Common Multiple of 60,18,977 with GCF Formula

Least Common Multiple of 60,18,977 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 60,18,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,18,977) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(60,18,977) x common factors =1 x 6 = 6

LCM(60,18,977) = ( 60 × 18 × 977 ) / 6

LCM(60,18,977) = 1055160 / 6

LCM(60,18,977) = 175860


Lets's calculate GCF of 483,542,618

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175860/1

Therefore the LCM of Fractions 60/483,18/542,977/618 is 175860

Greatest Common Factor of 483,542,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,542,618 By Matching Biggest Common Factor Method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 618

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

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

Greatest Common Factor

We found the factors 483,542,618 . The biggest common factor number is the GCF number.
So the greatest common factor 483,542,618 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 60/483, 18/542, 977/618

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 60/483, 18/542, 977/618?

Answer: LCM of Numerators as per given numbers 60/483, 18/542, 977/618 is

LCM of Numerators i.e. for 60,18,977 is 175860

GCF of denominators i.e. for 483,542,618 is 1.

Thus, LCM of Fractions is 175860.Finally, LCM of Fractions for 60/483, 18/542, 977/618 is 175860.