Least Common Multiple of 84/690, 688/180, 583/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/690, 688/180, 583/905 quickly i.e. 8423184/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/690, 688/180, 583/905 is 8423184/5.

LCM(84/690, 688/180, 583/905) = 8423184/5

LCM of 84/690, 688/180, 583/905

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 84/690,688/180,583/905

Given numbers are 84/690,688/180,583/905

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 84,688,583

Least Common Multiple of Numerators i.e. LCM of 84,688,583 is 8423184.

GCF of Denominators means GCF of 690,180,905 as per the given fractions.

GCF of 690,180,905 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,688,583

LCM of Fractions 84/690,688/180,583/905 is 8423184/5

2 84, 688, 583
2 42, 344, 583
21, 172, 583

∴ So the LCM of the given numbers is 2 x 2 x 21 x 172 x 583 = 8423184

Least Common Multiple of 84,688,583 with GCF Formula

Least Common Multiple of 84,688,583 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 84,688,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,688,583) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(84,688,583) x common factors =1 x 4 = 4

LCM(84,688,583) = ( 84 × 688 × 583 ) / 4

LCM(84,688,583) = 33692736 / 4

LCM(84,688,583) = 8423184


Lets's calculate GCF of 690,180,905

5 690, 180, 905
138, 36, 181

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8423184/5

Therefore the LCM of Fractions 84/690,688/180,583/905 is 8423184/5

Greatest Common Factor of 690,180,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,180,905 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors 690,180,905 . The biggest common factor number is the GCF number.
So the greatest common factor 690,180,905 is 5.


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 84/690, 688/180, 583/905

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 84/690, 688/180, 583/905?

Answer: LCM of Numerators as per given numbers 84/690, 688/180, 583/905 is

LCM of Numerators i.e. for 84,688,583 is 8423184

GCF of denominators i.e. for 690,180,905 is 5.

Thus, LCM of Fractions is 8423184/5.Finally, LCM of Fractions for 84/690, 688/180, 583/905 is 8423184/5.