Least Common Multiple of 532/574, 1810/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 532/574, 1810/567 quickly i.e. 68780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 532/574, 1810/567 is 68780.

LCM(532/574, 1810/567) = 68780

LCM of 532/574, 1810/567

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 532/574,1810/567

Given numbers are 532/574,1810/567

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 532,1810

Least Common Multiple of Numerators i.e. LCM of 532,1810 is 481460.

GCF of Denominators means GCF of 574,567 as per the given fractions.

GCF of 574,567 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 532,1810

LCM of Fractions 532/574,1810/567 is 68780

2 532, 1810
266, 905

∴ So the LCM of the given numbers is 2 x 266 x 905 = 481460

Least Common Multiple of 532,1810 with GCF Formula

Least Common Multiple of 532,1810 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 532,1810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,1810) = 2

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

GCF(532,1810) x common factors =2 x 1 = 2

LCM(532,1810) = ( 532 × 1810 ) / 2

LCM(532,1810) = 962920 / 2

LCM(532,1810) = 481460


Lets's calculate GCF of 574,567

7 574, 567
82, 81

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 481460/7

Therefore the LCM of Fractions 532/574,1810/567 is 68780

Greatest Common Factor of 574,567 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,567 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Greatest Common Factor

We found the factors 574,567 . The biggest common factor number is the GCF number.
So the greatest common factor 574,567 is 7.


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 532/574, 1810/567

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 532/574, 1810/567?

Answer: LCM of Numerators as per given numbers 532/574, 1810/567 is

LCM of Numerators i.e. for 532,1810 is 481460

GCF of denominators i.e. for 574,567 is 7.

Thus, LCM of Fractions is 68780.Finally, LCM of Fractions for 532/574, 1810/567 is 68780.