Least Common Multiple of 584/66, 581/46, 529/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 584/66, 581/46, 529/646 quickly i.e. 89745908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 584/66, 581/46, 529/646 is 89745908.

LCM(584/66, 581/46, 529/646) = 89745908

LCM of 584/66, 581/46, 529/646

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 584/66,581/46,529/646

Given numbers are 584/66,581/46,529/646

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 584,581,529

Least Common Multiple of Numerators i.e. LCM of 584,581,529 is 179491816.

GCF of Denominators means GCF of 66,46,646 as per the given fractions.

GCF of 66,46,646 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 584,581,529

LCM of Fractions 584/66,581/46,529/646 is 89745908

Given numbers has no common factors except 1. So, there LCM is their product i.e 179491816

Least Common Multiple of 584,581,529 with GCF Formula

Least Common Multiple of 584,581,529 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 584,581,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,581,529) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(584,581,529) x common factors =1 x 1 = 1

LCM(584,581,529) = ( 584 × 581 × 529 ) / 1

LCM(584,581,529) = 179491816 / 1

LCM(584,581,529) = 179491816


Lets's calculate GCF of 66,46,646

2 66, 46, 646
33, 23, 323

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179491816/2

Therefore the LCM of Fractions 584/66,581/46,529/646 is 89745908

Greatest Common Factor of 66,46,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,46,646 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 66,46,646 . The biggest common factor number is the GCF number.
So the greatest common factor 66,46,646 is 2.


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 584/66, 581/46, 529/646

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 584/66, 581/46, 529/646?

Answer: LCM of Numerators as per given numbers 584/66, 581/46, 529/646 is

LCM of Numerators i.e. for 584,581,529 is 179491816

GCF of denominators i.e. for 66,46,646 is 2.

Thus, LCM of Fractions is 89745908.Finally, LCM of Fractions for 584/66, 581/46, 529/646 is 89745908.