Least Common Multiple of 584/59, 962/34, 464/636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 584/59, 962/34, 464/636 quickly i.e. 16292432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 584/59, 962/34, 464/636 is 16292432.

LCM(584/59, 962/34, 464/636) = 16292432

LCM of 584/59, 962/34, 464/636

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 584/59,962/34,464/636

Given numbers are 584/59,962/34,464/636

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 584,962,464

Least Common Multiple of Numerators i.e. LCM of 584,962,464 is 16292432.

GCF of Denominators means GCF of 59,34,636 as per the given fractions.

GCF of 59,34,636 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 584,962,464

LCM of Fractions 584/59,962/34,464/636 is 16292432

2 584, 962, 464
2 292, 481, 232
2 146, 481, 116
73, 481, 58

∴ So the LCM of the given numbers is 2 x 2 x 2 x 73 x 481 x 58 = 16292432

Least Common Multiple of 584,962,464 with GCF Formula

Least Common Multiple of 584,962,464 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 584,962,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,962,464) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(584,962,464) x common factors =2 x 8 = 16

LCM(584,962,464) = ( 584 × 962 × 464 ) / 16

LCM(584,962,464) = 260678912 / 16

LCM(584,962,464) = 16292432


Lets's calculate GCF of 59,34,636

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16292432/1

Therefore the LCM of Fractions 584/59,962/34,464/636 is 16292432

Greatest Common Factor of 59,34,636 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,34,636 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Greatest Common Factor

We found the factors 59,34,636 . The biggest common factor number is the GCF number.
So the greatest common factor 59,34,636 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 584/59, 962/34, 464/636

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 584/59, 962/34, 464/636?

Answer: LCM of Numerators as per given numbers 584/59, 962/34, 464/636 is

LCM of Numerators i.e. for 584,962,464 is 16292432

GCF of denominators i.e. for 59,34,636 is 1.

Thus, LCM of Fractions is 16292432.Finally, LCM of Fractions for 584/59, 962/34, 464/636 is 16292432.