Least Common Multiple of 612/585, 764/656, 741/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 612/585, 764/656, 741/664 quickly i.e. 28872324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 612/585, 764/656, 741/664 is 28872324.

LCM(612/585, 764/656, 741/664) = 28872324

LCM of 612/585, 764/656, 741/664

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 612/585,764/656,741/664

Given numbers are 612/585,764/656,741/664

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 612,764,741

Least Common Multiple of Numerators i.e. LCM of 612,764,741 is 28872324.

GCF of Denominators means GCF of 585,656,664 as per the given fractions.

GCF of 585,656,664 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 612,764,741

LCM of Fractions 612/585,764/656,741/664 is 28872324

2 612, 764, 741
2 306, 382, 741
3 153, 191, 741
51, 191, 247

∴ So the LCM of the given numbers is 2 x 2 x 3 x 51 x 191 x 247 = 28872324

Least Common Multiple of 612,764,741 with GCF Formula

Least Common Multiple of 612,764,741 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 612,764,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,764,741) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(612,764,741) x common factors =1 x 12 = 12

LCM(612,764,741) = ( 612 × 764 × 741 ) / 12

LCM(612,764,741) = 346467888 / 12

LCM(612,764,741) = 28872324


Lets's calculate GCF of 585,656,664

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28872324/1

Therefore the LCM of Fractions 612/585,764/656,741/664 is 28872324

Greatest Common Factor of 585,656,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,656,664 By Matching Biggest Common Factor Method

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 585,656,664 . The biggest common factor number is the GCF number.
So the greatest common factor 585,656,664 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 612/585, 764/656, 741/664

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 612/585, 764/656, 741/664?

Answer: LCM of Numerators as per given numbers 612/585, 764/656, 741/664 is

LCM of Numerators i.e. for 612,764,741 is 28872324

GCF of denominators i.e. for 585,656,664 is 1.

Thus, LCM of Fractions is 28872324.Finally, LCM of Fractions for 612/585, 764/656, 741/664 is 28872324.