Least Common Multiple of 60/363, 18/761, 817/467

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/363, 18/761, 817/467 quickly i.e. 147060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/363, 18/761, 817/467 is 147060.

LCM(60/363, 18/761, 817/467) = 147060

LCM of 60/363, 18/761, 817/467

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 60/363,18/761,817/467

Given numbers are 60/363,18/761,817/467

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 60,18,817

Least Common Multiple of Numerators i.e. LCM of 60,18,817 is 147060.

GCF of Denominators means GCF of 363,761,467 as per the given fractions.

GCF of 363,761,467 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,18,817

LCM of Fractions 60/363,18/761,817/467 is 147060

2 60, 18, 817
3 30, 9, 817
10, 3, 817

∴ So the LCM of the given numbers is 2 x 3 x 10 x 3 x 817 = 147060

Least Common Multiple of 60,18,817 with GCF Formula

Least Common Multiple of 60,18,817 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 60,18,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,18,817) = 1

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

GCF(60,18,817) x common factors =1 x 6 = 6

LCM(60,18,817) = ( 60 × 18 × 817 ) / 6

LCM(60,18,817) = 882360 / 6

LCM(60,18,817) = 147060


Lets's calculate GCF of 363,761,467

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147060/1

Therefore the LCM of Fractions 60/363,18/761,817/467 is 147060

Greatest Common Factor of 363,761,467 By Matching Biggest Common Factor Method

Greatest Common Factor of 363,761,467 By Matching Biggest Common Factor Method

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Greatest Common Factor

We found the factors 363,761,467 . The biggest common factor number is the GCF number.
So the greatest common factor 363,761,467 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 60/363, 18/761, 817/467

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 60/363, 18/761, 817/467?

Answer: LCM of Numerators as per given numbers 60/363, 18/761, 817/467 is

LCM of Numerators i.e. for 60,18,817 is 147060

GCF of denominators i.e. for 363,761,467 is 1.

Thus, LCM of Fractions is 147060.Finally, LCM of Fractions for 60/363, 18/761, 817/467 is 147060.