Least Common Multiple of 144/743, 440/768, 659/752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 144/743, 440/768, 659/752 quickly i.e. 5219280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/743, 440/768, 659/752 is 5219280.

LCM(144/743, 440/768, 659/752) = 5219280

LCM of 144/743, 440/768, 659/752

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 144/743,440/768,659/752

Given numbers are 144/743,440/768,659/752

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 144,440,659

Least Common Multiple of Numerators i.e. LCM of 144,440,659 is 5219280.

GCF of Denominators means GCF of 743,768,752 as per the given fractions.

GCF of 743,768,752 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,440,659

LCM of Fractions 144/743,440/768,659/752 is 5219280

2 144, 440, 659
2 72, 220, 659
2 36, 110, 659
18, 55, 659

∴ So the LCM of the given numbers is 2 x 2 x 2 x 18 x 55 x 659 = 5219280

Least Common Multiple of 144,440,659 with GCF Formula

Least Common Multiple of 144,440,659 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 144,440,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,440,659) = 1

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

GCF(144,440,659) x common factors =1 x 8 = 8

LCM(144,440,659) = ( 144 × 440 × 659 ) / 8

LCM(144,440,659) = 41754240 / 8

LCM(144,440,659) = 5219280


Lets's calculate GCF of 743,768,752

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5219280/1

Therefore the LCM of Fractions 144/743,440/768,659/752 is 5219280

Greatest Common Factor of 743,768,752 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,768,752 By Matching Biggest Common Factor Method

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 743,768,752 . The biggest common factor number is the GCF number.
So the greatest common factor 743,768,752 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 144/743, 440/768, 659/752

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 144/743, 440/768, 659/752?

Answer: LCM of Numerators as per given numbers 144/743, 440/768, 659/752 is

LCM of Numerators i.e. for 144,440,659 is 5219280

GCF of denominators i.e. for 743,768,752 is 1.

Thus, LCM of Fractions is 5219280.Finally, LCM of Fractions for 144/743, 440/768, 659/752 is 5219280.