Least Common Multiple of 84/584, 31/689, 474/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/584, 31/689, 474/572 quickly i.e. 205716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/584, 31/689, 474/572 is 205716.

LCM(84/584, 31/689, 474/572) = 205716

LCM of 84/584, 31/689, 474/572

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 84/584,31/689,474/572

Given numbers are 84/584,31/689,474/572

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 84,31,474

Least Common Multiple of Numerators i.e. LCM of 84,31,474 is 205716.

GCF of Denominators means GCF of 584,689,572 as per the given fractions.

GCF of 584,689,572 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,31,474

LCM of Fractions 84/584,31/689,474/572 is 205716

2 84, 31, 474
3 42, 31, 237
14, 31, 79

∴ So the LCM of the given numbers is 2 x 3 x 14 x 31 x 79 = 205716

Least Common Multiple of 84,31,474 with GCF Formula

Least Common Multiple of 84,31,474 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 84,31,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,31,474) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(84,31,474) x common factors =1 x 6 = 6

LCM(84,31,474) = ( 84 × 31 × 474 ) / 6

LCM(84,31,474) = 1234296 / 6

LCM(84,31,474) = 205716


Lets's calculate GCF of 584,689,572

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205716/1

Therefore the LCM of Fractions 84/584,31/689,474/572 is 205716

Greatest Common Factor of 584,689,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,689,572 By Matching Biggest Common Factor Method

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 584,689,572 . The biggest common factor number is the GCF number.
So the greatest common factor 584,689,572 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 84/584, 31/689, 474/572

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 84/584, 31/689, 474/572?

Answer: LCM of Numerators as per given numbers 84/584, 31/689, 474/572 is

LCM of Numerators i.e. for 84,31,474 is 205716

GCF of denominators i.e. for 584,689,572 is 1.

Thus, LCM of Fractions is 205716.Finally, LCM of Fractions for 84/584, 31/689, 474/572 is 205716.