Least Common Multiple of 144/348, 703/720, 137/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 144/348, 703/720, 137/509 quickly i.e. 13868784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/348, 703/720, 137/509 is 13868784.

LCM(144/348, 703/720, 137/509) = 13868784

LCM of 144/348, 703/720, 137/509

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 144/348,703/720,137/509

Given numbers are 144/348,703/720,137/509

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 144,703,137

Least Common Multiple of Numerators i.e. LCM of 144,703,137 is 13868784.

GCF of Denominators means GCF of 348,720,509 as per the given fractions.

GCF of 348,720,509 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,703,137

LCM of Fractions 144/348,703/720,137/509 is 13868784

Given numbers has no common factors except 1. So, there LCM is their product i.e 13868784

Least Common Multiple of 144,703,137 with GCF Formula

Least Common Multiple of 144,703,137 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 144,703,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,703,137) = 1

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

GCF(144,703,137) x common factors =1 x 1 = 1

LCM(144,703,137) = ( 144 × 703 × 137 ) / 1

LCM(144,703,137) = 13868784 / 1

LCM(144,703,137) = 13868784


Lets's calculate GCF of 348,720,509

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13868784/1

Therefore the LCM of Fractions 144/348,703/720,137/509 is 13868784

Greatest Common Factor of 348,720,509 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,720,509 By Matching Biggest Common Factor Method

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Greatest Common Factor

We found the factors 348,720,509 . The biggest common factor number is the GCF number.
So the greatest common factor 348,720,509 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 144/348, 703/720, 137/509

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 144/348, 703/720, 137/509?

Answer: LCM of Numerators as per given numbers 144/348, 703/720, 137/509 is

LCM of Numerators i.e. for 144,703,137 is 13868784

GCF of denominators i.e. for 348,720,509 is 1.

Thus, LCM of Fractions is 13868784.Finally, LCM of Fractions for 144/348, 703/720, 137/509 is 13868784.