Least Common Multiple of 693/515, 476/878, 484/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 693/515, 476/878, 484/764 quickly i.e. 518364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 693/515, 476/878, 484/764 is 518364.

LCM(693/515, 476/878, 484/764) = 518364

LCM of 693/515, 476/878, 484/764

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 693/515,476/878,484/764

Given numbers are 693/515,476/878,484/764

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 693,476,484

Least Common Multiple of Numerators i.e. LCM of 693,476,484 is 518364.

GCF of Denominators means GCF of 515,878,764 as per the given fractions.

GCF of 515,878,764 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 693,476,484

LCM of Fractions 693/515,476/878,484/764 is 518364

2 693, 476, 484
2 693, 238, 242
7 693, 119, 121
11 99, 17, 121
9, 17, 11

∴ So the LCM of the given numbers is 2 x 2 x 7 x 11 x 9 x 17 x 11 = 518364

Least Common Multiple of 693,476,484 with GCF Formula

Least Common Multiple of 693,476,484 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 693,476,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(693,476,484) = 1

common factors(in case of two or more numbers have common factors) = 308

GCF(693,476,484) x common factors =1 x 308 = 308

LCM(693,476,484) = ( 693 × 476 × 484 ) / 308

LCM(693,476,484) = 159656112 / 308

LCM(693,476,484) = 518364


Lets's calculate GCF of 515,878,764

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 518364/1

Therefore the LCM of Fractions 693/515,476/878,484/764 is 518364

Greatest Common Factor of 515,878,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 515,878,764 By Matching Biggest Common Factor Method

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 515,878,764 . The biggest common factor number is the GCF number.
So the greatest common factor 515,878,764 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 693/515, 476/878, 484/764

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 693/515, 476/878, 484/764?

Answer: LCM of Numerators as per given numbers 693/515, 476/878, 484/764 is

LCM of Numerators i.e. for 693,476,484 is 518364

GCF of denominators i.e. for 515,878,764 is 1.

Thus, LCM of Fractions is 518364.Finally, LCM of Fractions for 693/515, 476/878, 484/764 is 518364.