Least Common Multiple of 563/267, 576/701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 563/267, 576/701 quickly i.e. 324288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 563/267, 576/701 is 324288.

LCM(563/267, 576/701) = 324288

LCM of 563/267, 576/701

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 563/267,576/701

Given numbers are 563/267,576/701

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 563,576

Least Common Multiple of Numerators i.e. LCM of 563,576 is 324288.

GCF of Denominators means GCF of 267,701 as per the given fractions.

GCF of 267,701 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 563,576

LCM of Fractions 563/267,576/701 is 324288

Given numbers has no common factors except 1. So, there LCM is their product i.e 324288

Least Common Multiple of 563,576 with GCF Formula

Least Common Multiple of 563,576 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 563,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(563,576) = 1

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

GCF(563,576) x common factors =1 x 1 = 1

LCM(563,576) = ( 563 × 576 ) / 1

LCM(563,576) = 324288 / 1

LCM(563,576) = 324288


Lets's calculate GCF of 267,701

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 324288/1

Therefore the LCM of Fractions 563/267,576/701 is 324288

Greatest Common Factor of 267,701 By Matching Biggest Common Factor Method

Greatest Common Factor of 267,701 By Matching Biggest Common Factor Method

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Greatest Common Factor

We found the factors 267,701 . The biggest common factor number is the GCF number.
So the greatest common factor 267,701 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 563/267, 576/701

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 563/267, 576/701?

Answer: LCM of Numerators as per given numbers 563/267, 576/701 is

LCM of Numerators i.e. for 563,576 is 324288

GCF of denominators i.e. for 267,701 is 1.

Thus, LCM of Fractions is 324288.Finally, LCM of Fractions for 563/267, 576/701 is 324288.