Least Common Multiple of 766/345, 418/518, 869/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 766/345, 418/518, 869/710 quickly i.e. 12647426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 766/345, 418/518, 869/710 is 12647426.

LCM(766/345, 418/518, 869/710) = 12647426

LCM of 766/345, 418/518, 869/710

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 766/345,418/518,869/710

Given numbers are 766/345,418/518,869/710

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 766,418,869

Least Common Multiple of Numerators i.e. LCM of 766,418,869 is 12647426.

GCF of Denominators means GCF of 345,518,710 as per the given fractions.

GCF of 345,518,710 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 766,418,869

LCM of Fractions 766/345,418/518,869/710 is 12647426

2 766, 418, 869
11 383, 209, 869
383, 19, 79

∴ So the LCM of the given numbers is 2 x 11 x 383 x 19 x 79 = 12647426

Least Common Multiple of 766,418,869 with GCF Formula

Least Common Multiple of 766,418,869 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 766,418,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,418,869) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(766,418,869) x common factors =1 x 22 = 22

LCM(766,418,869) = ( 766 × 418 × 869 ) / 22

LCM(766,418,869) = 278243372 / 22

LCM(766,418,869) = 12647426


Lets's calculate GCF of 345,518,710

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12647426/1

Therefore the LCM of Fractions 766/345,418/518,869/710 is 12647426

Greatest Common Factor of 345,518,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,518,710 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 345,518,710 . The biggest common factor number is the GCF number.
So the greatest common factor 345,518,710 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 766/345, 418/518, 869/710

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 766/345, 418/518, 869/710?

Answer: LCM of Numerators as per given numbers 766/345, 418/518, 869/710 is

LCM of Numerators i.e. for 766,418,869 is 12647426

GCF of denominators i.e. for 345,518,710 is 1.

Thus, LCM of Fractions is 12647426.Finally, LCM of Fractions for 766/345, 418/518, 869/710 is 12647426.