Least Common Multiple of 16/721, 4132/5831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/721, 4132/5831 quickly i.e. 16528/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/721, 4132/5831 is 16528/7.

LCM(16/721, 4132/5831) = 16528/7

LCM of 16/721, 4132/5831

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 16/721,4132/5831

Given numbers are 16/721,4132/5831

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 16,4132

Least Common Multiple of Numerators i.e. LCM of 16,4132 is 16528.

GCF of Denominators means GCF of 721,5831 as per the given fractions.

GCF of 721,5831 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,4132

LCM of Fractions 16/721,4132/5831 is 16528/7

2 16, 4132
2 8, 2066
4, 1033

∴ So the LCM of the given numbers is 2 x 2 x 4 x 1033 = 16528

Least Common Multiple of 16,4132 with GCF Formula

Least Common Multiple of 16,4132 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 16,4132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,4132) = 4

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

GCF(16,4132) x common factors =4 x 1 = 4

LCM(16,4132) = ( 16 × 4132 ) / 4

LCM(16,4132) = 66112 / 4

LCM(16,4132) = 16528


Lets's calculate GCF of 721,5831

7 721, 5831
103, 833

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16528/7

Therefore the LCM of Fractions 16/721,4132/5831 is 16528/7

Greatest Common Factor of 721,5831 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,5831 By Matching Biggest Common Factor Method

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 5831

List of positive integer factors of 5831 that divides 5831 without a remainder.

1,7,17,49,119,343,833,5831

Greatest Common Factor

We found the factors 721,5831 . The biggest common factor number is the GCF number.
So the greatest common factor 721,5831 is 7.


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 16/721, 4132/5831

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 16/721, 4132/5831?

Answer: LCM of Numerators as per given numbers 16/721, 4132/5831 is

LCM of Numerators i.e. for 16,4132 is 16528

GCF of denominators i.e. for 721,5831 is 7.

Thus, LCM of Fractions is 16528/7.Finally, LCM of Fractions for 16/721, 4132/5831 is 16528/7.