Least Common Multiple of 669/721, 508/132, 440/569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 669/721, 508/132, 440/569 quickly i.e. 37383720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 669/721, 508/132, 440/569 is 37383720.

LCM(669/721, 508/132, 440/569) = 37383720

LCM of 669/721, 508/132, 440/569

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 669/721,508/132,440/569

Given numbers are 669/721,508/132,440/569

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 669,508,440

Least Common Multiple of Numerators i.e. LCM of 669,508,440 is 37383720.

GCF of Denominators means GCF of 721,132,569 as per the given fractions.

GCF of 721,132,569 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 669,508,440

LCM of Fractions 669/721,508/132,440/569 is 37383720

2 669, 508, 440
2 669, 254, 220
669, 127, 110

∴ So the LCM of the given numbers is 2 x 2 x 669 x 127 x 110 = 37383720

Least Common Multiple of 669,508,440 with GCF Formula

Least Common Multiple of 669,508,440 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 669,508,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(669,508,440) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(669,508,440) x common factors =1 x 4 = 4

LCM(669,508,440) = ( 669 × 508 × 440 ) / 4

LCM(669,508,440) = 149534880 / 4

LCM(669,508,440) = 37383720


Lets's calculate GCF of 721,132,569

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37383720/1

Therefore the LCM of Fractions 669/721,508/132,440/569 is 37383720

Greatest Common Factor of 721,132,569 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,132,569 By Matching Biggest Common Factor Method

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

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 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Greatest Common Factor

We found the factors 721,132,569 . The biggest common factor number is the GCF number.
So the greatest common factor 721,132,569 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 669/721, 508/132, 440/569

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 669/721, 508/132, 440/569?

Answer: LCM of Numerators as per given numbers 669/721, 508/132, 440/569 is

LCM of Numerators i.e. for 669,508,440 is 37383720

GCF of denominators i.e. for 721,132,569 is 1.

Thus, LCM of Fractions is 37383720.Finally, LCM of Fractions for 669/721, 508/132, 440/569 is 37383720.