Least Common Multiple of 580/763, 465/382, 797/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 580/763, 465/382, 797/536 quickly i.e. 42990180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 580/763, 465/382, 797/536 is 42990180.

LCM(580/763, 465/382, 797/536) = 42990180

LCM of 580/763, 465/382, 797/536

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 580/763,465/382,797/536

Given numbers are 580/763,465/382,797/536

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 580,465,797

Least Common Multiple of Numerators i.e. LCM of 580,465,797 is 42990180.

GCF of Denominators means GCF of 763,382,536 as per the given fractions.

GCF of 763,382,536 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 580,465,797

LCM of Fractions 580/763,465/382,797/536 is 42990180

5 580, 465, 797
116, 93, 797

∴ So the LCM of the given numbers is 5 x 116 x 93 x 797 = 42990180

Least Common Multiple of 580,465,797 with GCF Formula

Least Common Multiple of 580,465,797 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 580,465,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,465,797) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(580,465,797) x common factors =1 x 5 = 5

LCM(580,465,797) = ( 580 × 465 × 797 ) / 5

LCM(580,465,797) = 214950900 / 5

LCM(580,465,797) = 42990180


Lets's calculate GCF of 763,382,536

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42990180/1

Therefore the LCM of Fractions 580/763,465/382,797/536 is 42990180

Greatest Common Factor of 763,382,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 763,382,536 By Matching Biggest Common Factor Method

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 763,382,536 . The biggest common factor number is the GCF number.
So the greatest common factor 763,382,536 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 580/763, 465/382, 797/536

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 580/763, 465/382, 797/536?

Answer: LCM of Numerators as per given numbers 580/763, 465/382, 797/536 is

LCM of Numerators i.e. for 580,465,797 is 42990180

GCF of denominators i.e. for 763,382,536 is 1.

Thus, LCM of Fractions is 42990180.Finally, LCM of Fractions for 580/763, 465/382, 797/536 is 42990180.