Least Common Multiple of 76/782, 83/645, 289/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/782, 83/645, 289/462 quickly i.e. 1823012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/782, 83/645, 289/462 is 1823012.

LCM(76/782, 83/645, 289/462) = 1823012

LCM of 76/782, 83/645, 289/462

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 76/782,83/645,289/462

Given numbers are 76/782,83/645,289/462

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 76,83,289

Least Common Multiple of Numerators i.e. LCM of 76,83,289 is 1823012.

GCF of Denominators means GCF of 782,645,462 as per the given fractions.

GCF of 782,645,462 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,83,289

LCM of Fractions 76/782,83/645,289/462 is 1823012

Given numbers has no common factors except 1. So, there LCM is their product i.e 1823012

Least Common Multiple of 76,83,289 with GCF Formula

Least Common Multiple of 76,83,289 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 76,83,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,83,289) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(76,83,289) x common factors =1 x 1 = 1

LCM(76,83,289) = ( 76 × 83 × 289 ) / 1

LCM(76,83,289) = 1823012 / 1

LCM(76,83,289) = 1823012


Lets's calculate GCF of 782,645,462

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1823012/1

Therefore the LCM of Fractions 76/782,83/645,289/462 is 1823012

Greatest Common Factor of 782,645,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,645,462 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 782,645,462 . The biggest common factor number is the GCF number.
So the greatest common factor 782,645,462 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 76/782, 83/645, 289/462

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 76/782, 83/645, 289/462?

Answer: LCM of Numerators as per given numbers 76/782, 83/645, 289/462 is

LCM of Numerators i.e. for 76,83,289 is 1823012

GCF of denominators i.e. for 782,645,462 is 1.

Thus, LCM of Fractions is 1823012.Finally, LCM of Fractions for 76/782, 83/645, 289/462 is 1823012.