Least Common Multiple of 144/37, 590/92, 785/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 144/37, 590/92, 785/640 quickly i.e. 6669360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/37, 590/92, 785/640 is 6669360.

LCM(144/37, 590/92, 785/640) = 6669360

LCM of 144/37, 590/92, 785/640

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 144/37,590/92,785/640

Given numbers are 144/37,590/92,785/640

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 144,590,785

Least Common Multiple of Numerators i.e. LCM of 144,590,785 is 6669360.

GCF of Denominators means GCF of 37,92,640 as per the given fractions.

GCF of 37,92,640 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,590,785

LCM of Fractions 144/37,590/92,785/640 is 6669360

2 144, 590, 785
5 72, 295, 785
72, 59, 157

∴ So the LCM of the given numbers is 2 x 5 x 72 x 59 x 157 = 6669360

Least Common Multiple of 144,590,785 with GCF Formula

Least Common Multiple of 144,590,785 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 144,590,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,590,785) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(144,590,785) x common factors =1 x 10 = 10

LCM(144,590,785) = ( 144 × 590 × 785 ) / 10

LCM(144,590,785) = 66693600 / 10

LCM(144,590,785) = 6669360


Lets's calculate GCF of 37,92,640

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6669360/1

Therefore the LCM of Fractions 144/37,590/92,785/640 is 6669360

Greatest Common Factor of 37,92,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,92,640 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 37,92,640 . The biggest common factor number is the GCF number.
So the greatest common factor 37,92,640 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 144/37, 590/92, 785/640

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 144/37, 590/92, 785/640?

Answer: LCM of Numerators as per given numbers 144/37, 590/92, 785/640 is

LCM of Numerators i.e. for 144,590,785 is 6669360

GCF of denominators i.e. for 37,92,640 is 1.

Thus, LCM of Fractions is 6669360.Finally, LCM of Fractions for 144/37, 590/92, 785/640 is 6669360.