Least Common Multiple of 255/810, 5443/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 255/810, 5443/742 quickly i.e. 1387965/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 255/810, 5443/742 is 1387965/2.

LCM(255/810, 5443/742) = 1387965/2

LCM of 255/810, 5443/742

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 255/810,5443/742

Given numbers are 255/810,5443/742

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 255,5443

Least Common Multiple of Numerators i.e. LCM of 255,5443 is 1387965.

GCF of Denominators means GCF of 810,742 as per the given fractions.

GCF of 810,742 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 255,5443

LCM of Fractions 255/810,5443/742 is 1387965/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1387965

Least Common Multiple of 255,5443 with GCF Formula

Least Common Multiple of 255,5443 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 255,5443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(255,5443) = 1

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

GCF(255,5443) x common factors =1 x 1 = 1

LCM(255,5443) = ( 255 × 5443 ) / 1

LCM(255,5443) = 1387965 / 1

LCM(255,5443) = 1387965


Lets's calculate GCF of 810,742

2 810, 742
405, 371

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1387965/2

Therefore the LCM of Fractions 255/810,5443/742 is 1387965/2

Greatest Common Factor of 810,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,742 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 810,742 . The biggest common factor number is the GCF number.
So the greatest common factor 810,742 is 2.


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 255/810, 5443/742

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 255/810, 5443/742?

Answer: LCM of Numerators as per given numbers 255/810, 5443/742 is

LCM of Numerators i.e. for 255,5443 is 1387965

GCF of denominators i.e. for 810,742 is 2.

Thus, LCM of Fractions is 1387965/2.Finally, LCM of Fractions for 255/810, 5443/742 is 1387965/2.