Least Common Multiple of 72/796, 519/156, 741/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/796, 519/156, 741/618 quickly i.e. 1538316 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/796, 519/156, 741/618 is 1538316.

LCM(72/796, 519/156, 741/618) = 1538316

LCM of 72/796, 519/156, 741/618

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 72/796,519/156,741/618

Given numbers are 72/796,519/156,741/618

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 72,519,741

Least Common Multiple of Numerators i.e. LCM of 72,519,741 is 3076632.

GCF of Denominators means GCF of 796,156,618 as per the given fractions.

GCF of 796,156,618 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,519,741

LCM of Fractions 72/796,519/156,741/618 is 1538316

3 72, 519, 741
24, 173, 247

∴ So the LCM of the given numbers is 3 x 24 x 173 x 247 = 3076632

Least Common Multiple of 72,519,741 with GCF Formula

Least Common Multiple of 72,519,741 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 72,519,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,519,741) = 3

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

GCF(72,519,741) x common factors =3 x 3 = 9

LCM(72,519,741) = ( 72 × 519 × 741 ) / 9

LCM(72,519,741) = 27689688 / 9

LCM(72,519,741) = 3076632


Lets's calculate GCF of 796,156,618

2 796, 156, 618
398, 78, 309

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3076632/2

Therefore the LCM of Fractions 72/796,519/156,741/618 is 1538316

Greatest Common Factor of 796,156,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 796,156,618 By Matching Biggest Common Factor Method

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

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 796,156,618 . The biggest common factor number is the GCF number.
So the greatest common factor 796,156,618 is 2.


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 72/796, 519/156, 741/618

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 72/796, 519/156, 741/618?

Answer: LCM of Numerators as per given numbers 72/796, 519/156, 741/618 is

LCM of Numerators i.e. for 72,519,741 is 3076632

GCF of denominators i.e. for 796,156,618 is 2.

Thus, LCM of Fractions is 1538316.Finally, LCM of Fractions for 72/796, 519/156, 741/618 is 1538316.