Least Common Multiple of 766/83, 143/11, 869/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 766/83, 143/11, 869/618 quickly i.e. 8653502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 766/83, 143/11, 869/618 is 8653502.

LCM(766/83, 143/11, 869/618) = 8653502

LCM of 766/83, 143/11, 869/618

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 766/83,143/11,869/618

Given numbers are 766/83,143/11,869/618

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 766,143,869

Least Common Multiple of Numerators i.e. LCM of 766,143,869 is 8653502.

GCF of Denominators means GCF of 83,11,618 as per the given fractions.

GCF of 83,11,618 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 766,143,869

LCM of Fractions 766/83,143/11,869/618 is 8653502

11 766, 143, 869
766, 13, 79

∴ So the LCM of the given numbers is 11 x 766 x 13 x 79 = 8653502

Least Common Multiple of 766,143,869 with GCF Formula

Least Common Multiple of 766,143,869 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 766,143,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,143,869) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(766,143,869) x common factors =1 x 11 = 11

LCM(766,143,869) = ( 766 × 143 × 869 ) / 11

LCM(766,143,869) = 95188522 / 11

LCM(766,143,869) = 8653502


Lets's calculate GCF of 83,11,618

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8653502/1

Therefore the LCM of Fractions 766/83,143/11,869/618 is 8653502

Greatest Common Factor of 83,11,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,11,618 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

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 83,11,618 . The biggest common factor number is the GCF number.
So the greatest common factor 83,11,618 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 766/83, 143/11, 869/618

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 766/83, 143/11, 869/618?

Answer: LCM of Numerators as per given numbers 766/83, 143/11, 869/618 is

LCM of Numerators i.e. for 766,143,869 is 8653502

GCF of denominators i.e. for 83,11,618 is 1.

Thus, LCM of Fractions is 8653502.Finally, LCM of Fractions for 766/83, 143/11, 869/618 is 8653502.