Least Common Multiple of 664/783, 224/132, 591/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 664/783, 224/132, 591/685 quickly i.e. 10987872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 664/783, 224/132, 591/685 is 10987872.

LCM(664/783, 224/132, 591/685) = 10987872

LCM of 664/783, 224/132, 591/685

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 664/783,224/132,591/685

Given numbers are 664/783,224/132,591/685

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 664,224,591

Least Common Multiple of Numerators i.e. LCM of 664,224,591 is 10987872.

GCF of Denominators means GCF of 783,132,685 as per the given fractions.

GCF of 783,132,685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 664,224,591

LCM of Fractions 664/783,224/132,591/685 is 10987872

2 664, 224, 591
2 332, 112, 591
2 166, 56, 591
83, 28, 591

∴ So the LCM of the given numbers is 2 x 2 x 2 x 83 x 28 x 591 = 10987872

Least Common Multiple of 664,224,591 with GCF Formula

Least Common Multiple of 664,224,591 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 664,224,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,224,591) = 1

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

GCF(664,224,591) x common factors =1 x 8 = 8

LCM(664,224,591) = ( 664 × 224 × 591 ) / 8

LCM(664,224,591) = 87902976 / 8

LCM(664,224,591) = 10987872


Lets's calculate GCF of 783,132,685

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10987872/1

Therefore the LCM of Fractions 664/783,224/132,591/685 is 10987872

Greatest Common Factor of 783,132,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,132,685 By Matching Biggest Common Factor Method

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 783,132,685 . The biggest common factor number is the GCF number.
So the greatest common factor 783,132,685 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 664/783, 224/132, 591/685

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 664/783, 224/132, 591/685?

Answer: LCM of Numerators as per given numbers 664/783, 224/132, 591/685 is

LCM of Numerators i.e. for 664,224,591 is 10987872

GCF of denominators i.e. for 783,132,685 is 1.

Thus, LCM of Fractions is 10987872.Finally, LCM of Fractions for 664/783, 224/132, 591/685 is 10987872.