Least Common Multiple of 3628/436, 3567/4716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3628/436, 3567/4716 quickly i.e. 3235269 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3628/436, 3567/4716 is 3235269.

LCM(3628/436, 3567/4716) = 3235269

LCM of 3628/436, 3567/4716

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 3628/436,3567/4716

Given numbers are 3628/436,3567/4716

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 3628,3567

Least Common Multiple of Numerators i.e. LCM of 3628,3567 is 12941076.

GCF of Denominators means GCF of 436,4716 as per the given fractions.

GCF of 436,4716 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3628,3567

LCM of Fractions 3628/436,3567/4716 is 3235269

Given numbers has no common factors except 1. So, there LCM is their product i.e 12941076

Least Common Multiple of 3628,3567 with GCF Formula

Least Common Multiple of 3628,3567 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 3628,3567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3628,3567) = 1

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

GCF(3628,3567) x common factors =1 x 1 = 1

LCM(3628,3567) = ( 3628 × 3567 ) / 1

LCM(3628,3567) = 12941076 / 1

LCM(3628,3567) = 12941076


Lets's calculate GCF of 436,4716

2 436, 4716
2 218, 2358
109, 1179

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12941076/4

Therefore the LCM of Fractions 3628/436,3567/4716 is 3235269

Greatest Common Factor of 436,4716 By Matching Biggest Common Factor Method

Greatest Common Factor of 436,4716 By Matching Biggest Common Factor Method

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Factors of 4716

List of positive integer factors of 4716 that divides 4716 without a remainder.

1,2,3,4,6,9,12,18,36,131,262,393,524,786,1179,1572,2358,4716

Greatest Common Factor

We found the factors 436,4716 . The biggest common factor number is the GCF number.
So the greatest common factor 436,4716 is 4.


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 3628/436, 3567/4716

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 3628/436, 3567/4716?

Answer: LCM of Numerators as per given numbers 3628/436, 3567/4716 is

LCM of Numerators i.e. for 3628,3567 is 12941076

GCF of denominators i.e. for 436,4716 is 4.

Thus, LCM of Fractions is 3235269.Finally, LCM of Fractions for 3628/436, 3567/4716 is 3235269.