Least Common Multiple of 516/35, 708/5761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 516/35, 708/5761 quickly i.e. 30444/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 516/35, 708/5761 is 30444/7.

LCM(516/35, 708/5761) = 30444/7

LCM of 516/35, 708/5761

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 516/35,708/5761

Given numbers are 516/35,708/5761

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 516,708

Least Common Multiple of Numerators i.e. LCM of 516,708 is 30444.

GCF of Denominators means GCF of 35,5761 as per the given fractions.

GCF of 35,5761 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 516,708

LCM of Fractions 516/35,708/5761 is 30444/7

2 516, 708
2 258, 354
3 129, 177
43, 59

∴ So the LCM of the given numbers is 2 x 2 x 3 x 43 x 59 = 30444

Least Common Multiple of 516,708 with GCF Formula

Least Common Multiple of 516,708 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 516,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,708) = 12

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

GCF(516,708) x common factors =12 x 1 = 12

LCM(516,708) = ( 516 × 708 ) / 12

LCM(516,708) = 365328 / 12

LCM(516,708) = 30444


Lets's calculate GCF of 35,5761

7 35, 5761
5, 823

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30444/7

Therefore the LCM of Fractions 516/35,708/5761 is 30444/7

Greatest Common Factor of 35,5761 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,5761 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 5761

List of positive integer factors of 5761 that divides 5761 without a remainder.

1,7,823,5761

Greatest Common Factor

We found the factors 35,5761 . The biggest common factor number is the GCF number.
So the greatest common factor 35,5761 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 516/35, 708/5761

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 516/35, 708/5761?

Answer: LCM of Numerators as per given numbers 516/35, 708/5761 is

LCM of Numerators i.e. for 516,708 is 30444

GCF of denominators i.e. for 35,5761 is 7.

Thus, LCM of Fractions is 30444/7.Finally, LCM of Fractions for 516/35, 708/5761 is 30444/7.