Least Common Multiple of 15/219, 147/76, 653/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/219, 147/76, 653/774 quickly i.e. 479955 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/219, 147/76, 653/774 is 479955.

LCM(15/219, 147/76, 653/774) = 479955

LCM of 15/219, 147/76, 653/774

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 15/219,147/76,653/774

Given numbers are 15/219,147/76,653/774

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 15,147,653

Least Common Multiple of Numerators i.e. LCM of 15,147,653 is 479955.

GCF of Denominators means GCF of 219,76,774 as per the given fractions.

GCF of 219,76,774 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,147,653

LCM of Fractions 15/219,147/76,653/774 is 479955

3 15, 147, 653
5, 49, 653

∴ So the LCM of the given numbers is 3 x 5 x 49 x 653 = 479955

Least Common Multiple of 15,147,653 with GCF Formula

Least Common Multiple of 15,147,653 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 15,147,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,147,653) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(15,147,653) x common factors =1 x 3 = 3

LCM(15,147,653) = ( 15 × 147 × 653 ) / 3

LCM(15,147,653) = 1439865 / 3

LCM(15,147,653) = 479955


Lets's calculate GCF of 219,76,774

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 479955/1

Therefore the LCM of Fractions 15/219,147/76,653/774 is 479955

Greatest Common Factor of 219,76,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,76,774 By Matching Biggest Common Factor Method

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 219,76,774 . The biggest common factor number is the GCF number.
So the greatest common factor 219,76,774 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 15/219, 147/76, 653/774

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 15/219, 147/76, 653/774?

Answer: LCM of Numerators as per given numbers 15/219, 147/76, 653/774 is

LCM of Numerators i.e. for 15,147,653 is 479955

GCF of denominators i.e. for 219,76,774 is 1.

Thus, LCM of Fractions is 479955.Finally, LCM of Fractions for 15/219, 147/76, 653/774 is 479955.