Least Common Multiple of 456/562, 5519/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 456/562, 5519/275 quickly i.e. 2516664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 456/562, 5519/275 is 2516664.

LCM(456/562, 5519/275) = 2516664

LCM of 456/562, 5519/275

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 456/562,5519/275

Given numbers are 456/562,5519/275

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 456,5519

Least Common Multiple of Numerators i.e. LCM of 456,5519 is 2516664.

GCF of Denominators means GCF of 562,275 as per the given fractions.

GCF of 562,275 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 456,5519

LCM of Fractions 456/562,5519/275 is 2516664

Given numbers has no common factors except 1. So, there LCM is their product i.e 2516664

Least Common Multiple of 456,5519 with GCF Formula

Least Common Multiple of 456,5519 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 456,5519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,5519) = 1

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

GCF(456,5519) x common factors =1 x 1 = 1

LCM(456,5519) = ( 456 × 5519 ) / 1

LCM(456,5519) = 2516664 / 1

LCM(456,5519) = 2516664


Lets's calculate GCF of 562,275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2516664/1

Therefore the LCM of Fractions 456/562,5519/275 is 2516664

Greatest Common Factor of 562,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,275 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 275

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

1,5,11,25,55,275

Greatest Common Factor

We found the factors 562,275 . The biggest common factor number is the GCF number.
So the greatest common factor 562,275 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 456/562, 5519/275

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 456/562, 5519/275?

Answer: LCM of Numerators as per given numbers 456/562, 5519/275 is

LCM of Numerators i.e. for 456,5519 is 2516664

GCF of denominators i.e. for 562,275 is 1.

Thus, LCM of Fractions is 2516664.Finally, LCM of Fractions for 456/562, 5519/275 is 2516664.