Least Common Multiple of 559/536, 224/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 559/536, 224/315 quickly i.e. 125216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 559/536, 224/315 is 125216.

LCM(559/536, 224/315) = 125216

LCM of 559/536, 224/315

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 559/536,224/315

Given numbers are 559/536,224/315

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 559,224

Least Common Multiple of Numerators i.e. LCM of 559,224 is 125216.

GCF of Denominators means GCF of 536,315 as per the given fractions.

GCF of 536,315 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 559,224

LCM of Fractions 559/536,224/315 is 125216

Given numbers has no common factors except 1. So, there LCM is their product i.e 125216

Least Common Multiple of 559,224 with GCF Formula

Least Common Multiple of 559,224 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 559,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(559,224) = 1

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

GCF(559,224) x common factors =1 x 1 = 1

LCM(559,224) = ( 559 × 224 ) / 1

LCM(559,224) = 125216 / 1

LCM(559,224) = 125216


Lets's calculate GCF of 536,315

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125216/1

Therefore the LCM of Fractions 559/536,224/315 is 125216

Greatest Common Factor of 536,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,315 By Matching Biggest Common Factor Method

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 536,315 . The biggest common factor number is the GCF number.
So the greatest common factor 536,315 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 559/536, 224/315

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 559/536, 224/315?

Answer: LCM of Numerators as per given numbers 559/536, 224/315 is

LCM of Numerators i.e. for 559,224 is 125216

GCF of denominators i.e. for 536,315 is 1.

Thus, LCM of Fractions is 125216.Finally, LCM of Fractions for 559/536, 224/315 is 125216.