Least Common Multiple of 28/19, 61/56, 32/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/19, 61/56, 32/724 quickly i.e. 13664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/19, 61/56, 32/724 is 13664.

LCM(28/19, 61/56, 32/724) = 13664

LCM of 28/19, 61/56, 32/724

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 28/19,61/56,32/724

Given numbers are 28/19,61/56,32/724

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 28,61,32

Least Common Multiple of Numerators i.e. LCM of 28,61,32 is 13664.

GCF of Denominators means GCF of 19,56,724 as per the given fractions.

GCF of 19,56,724 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,61,32

LCM of Fractions 28/19,61/56,32/724 is 13664

2 28, 61, 32
2 14, 61, 16
7, 61, 8

∴ So the LCM of the given numbers is 2 x 2 x 7 x 61 x 8 = 13664

Least Common Multiple of 28,61,32 with GCF Formula

Least Common Multiple of 28,61,32 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 28,61,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,61,32) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(28,61,32) x common factors =1 x 4 = 4

LCM(28,61,32) = ( 28 × 61 × 32 ) / 4

LCM(28,61,32) = 54656 / 4

LCM(28,61,32) = 13664


Lets's calculate GCF of 19,56,724

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13664/1

Therefore the LCM of Fractions 28/19,61/56,32/724 is 13664

Greatest Common Factor of 19,56,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,56,724 By Matching Biggest Common Factor Method

Factors of 19

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

1,19

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 19,56,724 . The biggest common factor number is the GCF number.
So the greatest common factor 19,56,724 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 28/19, 61/56, 32/724

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 28/19, 61/56, 32/724?

Answer: LCM of Numerators as per given numbers 28/19, 61/56, 32/724 is

LCM of Numerators i.e. for 28,61,32 is 13664

GCF of denominators i.e. for 19,56,724 is 1.

Thus, LCM of Fractions is 13664.Finally, LCM of Fractions for 28/19, 61/56, 32/724 is 13664.