Least Common Multiple of 556/45, 302/4315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 556/45, 302/4315 quickly i.e. 83956/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 556/45, 302/4315 is 83956/5.

LCM(556/45, 302/4315) = 83956/5

LCM of 556/45, 302/4315

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 556/45,302/4315

Given numbers are 556/45,302/4315

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 556,302

Least Common Multiple of Numerators i.e. LCM of 556,302 is 83956.

GCF of Denominators means GCF of 45,4315 as per the given fractions.

GCF of 45,4315 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 556,302

LCM of Fractions 556/45,302/4315 is 83956/5

2 556, 302
278, 151

∴ So the LCM of the given numbers is 2 x 278 x 151 = 83956

Least Common Multiple of 556,302 with GCF Formula

Least Common Multiple of 556,302 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 556,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(556,302) = 2

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

GCF(556,302) x common factors =2 x 1 = 2

LCM(556,302) = ( 556 × 302 ) / 2

LCM(556,302) = 167912 / 2

LCM(556,302) = 83956


Lets's calculate GCF of 45,4315

5 45, 4315
9, 863

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83956/5

Therefore the LCM of Fractions 556/45,302/4315 is 83956/5

Greatest Common Factor of 45,4315 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,4315 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 4315

List of positive integer factors of 4315 that divides 4315 without a remainder.

1,5,863,4315

Greatest Common Factor

We found the factors 45,4315 . The biggest common factor number is the GCF number.
So the greatest common factor 45,4315 is 5.


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 556/45, 302/4315

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 556/45, 302/4315?

Answer: LCM of Numerators as per given numbers 556/45, 302/4315 is

LCM of Numerators i.e. for 556,302 is 83956

GCF of denominators i.e. for 45,4315 is 5.

Thus, LCM of Fractions is 83956/5.Finally, LCM of Fractions for 556/45, 302/4315 is 83956/5.