Least Common Multiple of 821/555, 4254/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 821/555, 4254/814 quickly i.e. 3492534/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 821/555, 4254/814 is 3492534/37.

LCM(821/555, 4254/814) = 3492534/37

LCM of 821/555, 4254/814

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 821/555,4254/814

Given numbers are 821/555,4254/814

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 821,4254

Least Common Multiple of Numerators i.e. LCM of 821,4254 is 3492534.

GCF of Denominators means GCF of 555,814 as per the given fractions.

GCF of 555,814 is 37 as it is the largest common factor for these numbers.

Lets's calculate LCM of 821,4254

LCM of Fractions 821/555,4254/814 is 3492534/37

Given numbers has no common factors except 1. So, there LCM is their product i.e 3492534

Least Common Multiple of 821,4254 with GCF Formula

Least Common Multiple of 821,4254 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 821,4254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,4254) = 1

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

GCF(821,4254) x common factors =1 x 1 = 1

LCM(821,4254) = ( 821 × 4254 ) / 1

LCM(821,4254) = 3492534 / 1

LCM(821,4254) = 3492534


Lets's calculate GCF of 555,814

37 555, 814
15, 22

∴ So the GCF of the given numbers is 37 = 37

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3492534/37

Therefore the LCM of Fractions 821/555,4254/814 is 3492534/37

Greatest Common Factor of 555,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 555,814 By Matching Biggest Common Factor Method

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 555,814 . The biggest common factor number is the GCF number.
So the greatest common factor 555,814 is 37.


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 821/555, 4254/814

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 821/555, 4254/814?

Answer: LCM of Numerators as per given numbers 821/555, 4254/814 is

LCM of Numerators i.e. for 821,4254 is 3492534

GCF of denominators i.e. for 555,814 is 37.

Thus, LCM of Fractions is 3492534/37.Finally, LCM of Fractions for 821/555, 4254/814 is 3492534/37.