Least Common Multiple of 28/37, 50/19, 65/49, 13/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/37, 50/19, 65/49, 13/723 quickly i.e. 9100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/37, 50/19, 65/49, 13/723 is 9100.

LCM(28/37, 50/19, 65/49, 13/723) = 9100

LCM of 28/37, 50/19, 65/49, 13/723

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 28/37,50/19,65/49,13/723

Given numbers are 28/37,50/19,65/49,13/723

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 28,50,65,13

Least Common Multiple of Numerators i.e. LCM of 28,50,65,13 is 9100.

GCF of Denominators means GCF of 37,19,49,723 as per the given fractions.

GCF of 37,19,49,723 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,50,65,13

LCM of Fractions 28/37,50/19,65/49,13/723 is 9100

2 28, 50, 65, 13
5 14, 25, 65, 13
13 14, 5, 13, 13
14, 5, 1, 1

∴ So the LCM of the given numbers is 2 x 5 x 13 x 14 x 5 x 1 x 1 = 9100

Least Common Multiple of 28,50,65,13 with GCF Formula

Least Common Multiple of 28,50,65,13 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 28,50,65,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,50,65,13) = 1

common factors(in case of two or more numbers have common factors) = 130

GCF(28,50,65,13) x common factors =1 x 130 = 130

LCM(28,50,65,13) = ( 28 × 50 × 65 × 13 ) / 130

LCM(28,50,65,13) = 1183000 / 130

LCM(28,50,65,13) = 9100


Lets's calculate GCF of 37,19,49,723

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9100/1

Therefore the LCM of Fractions 28/37,50/19,65/49,13/723 is 9100

Greatest Common Factor of 37,19,49,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,19,49,723 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 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 37,19,49,723 . The biggest common factor number is the GCF number.
So the greatest common factor 37,19,49,723 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 28/37, 50/19, 65/49, 13/723

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 28/37, 50/19, 65/49, 13/723?

Answer: LCM of Numerators as per given numbers 28/37, 50/19, 65/49, 13/723 is

LCM of Numerators i.e. for 28,50,65,13 is 9100

GCF of denominators i.e. for 37,19,49,723 is 1.

Thus, LCM of Fractions is 9100.Finally, LCM of Fractions for 28/37, 50/19, 65/49, 13/723 is 9100.