Least Common Multiple of 563/695, 504/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 563/695, 504/572 quickly i.e. 283752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 563/695, 504/572 is 283752.

LCM(563/695, 504/572) = 283752

LCM of 563/695, 504/572

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 563/695,504/572

Given numbers are 563/695,504/572

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 563,504

Least Common Multiple of Numerators i.e. LCM of 563,504 is 283752.

GCF of Denominators means GCF of 695,572 as per the given fractions.

GCF of 695,572 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 563,504

LCM of Fractions 563/695,504/572 is 283752

Given numbers has no common factors except 1. So, there LCM is their product i.e 283752

Least Common Multiple of 563,504 with GCF Formula

Least Common Multiple of 563,504 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 563,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(563,504) = 1

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

GCF(563,504) x common factors =1 x 1 = 1

LCM(563,504) = ( 563 × 504 ) / 1

LCM(563,504) = 283752 / 1

LCM(563,504) = 283752


Lets's calculate GCF of 695,572

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 283752/1

Therefore the LCM of Fractions 563/695,504/572 is 283752

Greatest Common Factor of 695,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 695,572 By Matching Biggest Common Factor Method

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 695,572 . The biggest common factor number is the GCF number.
So the greatest common factor 695,572 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 563/695, 504/572

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 563/695, 504/572?

Answer: LCM of Numerators as per given numbers 563/695, 504/572 is

LCM of Numerators i.e. for 563,504 is 283752

GCF of denominators i.e. for 695,572 is 1.

Thus, LCM of Fractions is 283752.Finally, LCM of Fractions for 563/695, 504/572 is 283752.