Least Common Multiple of 516/275, 5921/7216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 516/275, 5921/7216 quickly i.e. 3055236/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 516/275, 5921/7216 is 3055236/11.

LCM(516/275, 5921/7216) = 3055236/11

LCM of 516/275, 5921/7216

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 516/275,5921/7216

Given numbers are 516/275,5921/7216

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 516,5921

Least Common Multiple of Numerators i.e. LCM of 516,5921 is 3055236.

GCF of Denominators means GCF of 275,7216 as per the given fractions.

GCF of 275,7216 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 516,5921

LCM of Fractions 516/275,5921/7216 is 3055236/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 3055236

Least Common Multiple of 516,5921 with GCF Formula

Least Common Multiple of 516,5921 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 516,5921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,5921) = 1

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

GCF(516,5921) x common factors =1 x 1 = 1

LCM(516,5921) = ( 516 × 5921 ) / 1

LCM(516,5921) = 3055236 / 1

LCM(516,5921) = 3055236


Lets's calculate GCF of 275,7216

11 275, 7216
25, 656

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3055236/11

Therefore the LCM of Fractions 516/275,5921/7216 is 3055236/11

Greatest Common Factor of 275,7216 By Matching Biggest Common Factor Method

Greatest Common Factor of 275,7216 By Matching Biggest Common Factor Method

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 7216

List of positive integer factors of 7216 that divides 7216 without a remainder.

1,2,4,8,11,16,22,41,44,82,88,164,176,328,451,656,902,1804,3608,7216

Greatest Common Factor

We found the factors 275,7216 . The biggest common factor number is the GCF number.
So the greatest common factor 275,7216 is 11.


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 516/275, 5921/7216

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 516/275, 5921/7216?

Answer: LCM of Numerators as per given numbers 516/275, 5921/7216 is

LCM of Numerators i.e. for 516,5921 is 3055236

GCF of denominators i.e. for 275,7216 is 11.

Thus, LCM of Fractions is 3055236/11.Finally, LCM of Fractions for 516/275, 5921/7216 is 3055236/11.