Least Common Multiple of 84/423, 294/64, 239/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/423, 294/64, 239/756 quickly i.e. 140532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/423, 294/64, 239/756 is 140532.

LCM(84/423, 294/64, 239/756) = 140532

LCM of 84/423, 294/64, 239/756

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 84/423,294/64,239/756

Given numbers are 84/423,294/64,239/756

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 84,294,239

Least Common Multiple of Numerators i.e. LCM of 84,294,239 is 140532.

GCF of Denominators means GCF of 423,64,756 as per the given fractions.

GCF of 423,64,756 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,294,239

LCM of Fractions 84/423,294/64,239/756 is 140532

2 84, 294, 239
3 42, 147, 239
7 14, 49, 239
2, 7, 239

∴ So the LCM of the given numbers is 2 x 3 x 7 x 2 x 7 x 239 = 140532

Least Common Multiple of 84,294,239 with GCF Formula

Least Common Multiple of 84,294,239 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 84,294,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,294,239) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(84,294,239) x common factors =1 x 42 = 42

LCM(84,294,239) = ( 84 × 294 × 239 ) / 42

LCM(84,294,239) = 5902344 / 42

LCM(84,294,239) = 140532


Lets's calculate GCF of 423,64,756

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140532/1

Therefore the LCM of Fractions 84/423,294/64,239/756 is 140532

Greatest Common Factor of 423,64,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,64,756 By Matching Biggest Common Factor Method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 423,64,756 . The biggest common factor number is the GCF number.
So the greatest common factor 423,64,756 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 84/423, 294/64, 239/756

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 84/423, 294/64, 239/756?

Answer: LCM of Numerators as per given numbers 84/423, 294/64, 239/756 is

LCM of Numerators i.e. for 84,294,239 is 140532

GCF of denominators i.e. for 423,64,756 is 1.

Thus, LCM of Fractions is 140532.Finally, LCM of Fractions for 84/423, 294/64, 239/756 is 140532.