Least Common Multiple of 84/583, 54/240, 749/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/583, 54/240, 749/380 quickly i.e. 80892 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/583, 54/240, 749/380 is 80892.

LCM(84/583, 54/240, 749/380) = 80892

LCM of 84/583, 54/240, 749/380

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 84/583,54/240,749/380

Given numbers are 84/583,54/240,749/380

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 84,54,749

Least Common Multiple of Numerators i.e. LCM of 84,54,749 is 80892.

GCF of Denominators means GCF of 583,240,380 as per the given fractions.

GCF of 583,240,380 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,54,749

LCM of Fractions 84/583,54/240,749/380 is 80892

2 84, 54, 749
3 42, 27, 749
7 14, 9, 749
2, 9, 107

∴ So the LCM of the given numbers is 2 x 3 x 7 x 2 x 9 x 107 = 80892

Least Common Multiple of 84,54,749 with GCF Formula

Least Common Multiple of 84,54,749 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 84,54,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,54,749) = 1

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

GCF(84,54,749) x common factors =1 x 42 = 42

LCM(84,54,749) = ( 84 × 54 × 749 ) / 42

LCM(84,54,749) = 3397464 / 42

LCM(84,54,749) = 80892


Lets's calculate GCF of 583,240,380

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80892/1

Therefore the LCM of Fractions 84/583,54/240,749/380 is 80892

Greatest Common Factor of 583,240,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,240,380 By Matching Biggest Common Factor Method

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 583,240,380 . The biggest common factor number is the GCF number.
So the greatest common factor 583,240,380 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 84/583, 54/240, 749/380

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 84/583, 54/240, 749/380?

Answer: LCM of Numerators as per given numbers 84/583, 54/240, 749/380 is

LCM of Numerators i.e. for 84,54,749 is 80892

GCF of denominators i.e. for 583,240,380 is 1.

Thus, LCM of Fractions is 80892.Finally, LCM of Fractions for 84/583, 54/240, 749/380 is 80892.