Least Common Multiple of 320/37, 728/48, 103/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 320/37, 728/48, 103/610 quickly i.e. 2999360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 320/37, 728/48, 103/610 is 2999360.

LCM(320/37, 728/48, 103/610) = 2999360

LCM of 320/37, 728/48, 103/610

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 320/37,728/48,103/610

Given numbers are 320/37,728/48,103/610

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 320,728,103

Least Common Multiple of Numerators i.e. LCM of 320,728,103 is 2999360.

GCF of Denominators means GCF of 37,48,610 as per the given fractions.

GCF of 37,48,610 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 320,728,103

LCM of Fractions 320/37,728/48,103/610 is 2999360

2 320, 728, 103
2 160, 364, 103
2 80, 182, 103
40, 91, 103

∴ So the LCM of the given numbers is 2 x 2 x 2 x 40 x 91 x 103 = 2999360

Least Common Multiple of 320,728,103 with GCF Formula

Least Common Multiple of 320,728,103 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 320,728,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,728,103) = 1

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

GCF(320,728,103) x common factors =1 x 8 = 8

LCM(320,728,103) = ( 320 × 728 × 103 ) / 8

LCM(320,728,103) = 23994880 / 8

LCM(320,728,103) = 2999360


Lets's calculate GCF of 37,48,610

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2999360/1

Therefore the LCM of Fractions 320/37,728/48,103/610 is 2999360

Greatest Common Factor of 37,48,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,48,610 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 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 37,48,610 . The biggest common factor number is the GCF number.
So the greatest common factor 37,48,610 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 320/37, 728/48, 103/610

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 320/37, 728/48, 103/610?

Answer: LCM of Numerators as per given numbers 320/37, 728/48, 103/610 is

LCM of Numerators i.e. for 320,728,103 is 2999360

GCF of denominators i.e. for 37,48,610 is 1.

Thus, LCM of Fractions is 2999360.Finally, LCM of Fractions for 320/37, 728/48, 103/610 is 2999360.