Least Common Multiple of 84/93, 80/31, 423/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/93, 80/31, 423/507 quickly i.e. 236880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/93, 80/31, 423/507 is 236880.

LCM(84/93, 80/31, 423/507) = 236880

LCM of 84/93, 80/31, 423/507

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 84/93,80/31,423/507

Given numbers are 84/93,80/31,423/507

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 84,80,423

Least Common Multiple of Numerators i.e. LCM of 84,80,423 is 236880.

GCF of Denominators means GCF of 93,31,507 as per the given fractions.

GCF of 93,31,507 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,80,423

LCM of Fractions 84/93,80/31,423/507 is 236880

2 84, 80, 423
2 42, 40, 423
3 21, 20, 423
7, 20, 141

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 20 x 141 = 236880

Least Common Multiple of 84,80,423 with GCF Formula

Least Common Multiple of 84,80,423 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 84,80,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,80,423) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(84,80,423) x common factors =1 x 12 = 12

LCM(84,80,423) = ( 84 × 80 × 423 ) / 12

LCM(84,80,423) = 2842560 / 12

LCM(84,80,423) = 236880


Lets's calculate GCF of 93,31,507

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 236880/1

Therefore the LCM of Fractions 84/93,80/31,423/507 is 236880

Greatest Common Factor of 93,31,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,31,507 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 93,31,507 . The biggest common factor number is the GCF number.
So the greatest common factor 93,31,507 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 84/93, 80/31, 423/507

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 84/93, 80/31, 423/507?

Answer: LCM of Numerators as per given numbers 84/93, 80/31, 423/507 is

LCM of Numerators i.e. for 84,80,423 is 236880

GCF of denominators i.e. for 93,31,507 is 1.

Thus, LCM of Fractions is 236880.Finally, LCM of Fractions for 84/93, 80/31, 423/507 is 236880.