Least Common Multiple of 1820/600, 1089/3628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1820/600, 1089/3628 quickly i.e. 495495 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1820/600, 1089/3628 is 495495.

LCM(1820/600, 1089/3628) = 495495

LCM of 1820/600, 1089/3628

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 1820/600,1089/3628

Given numbers are 1820/600,1089/3628

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 1820,1089

Least Common Multiple of Numerators i.e. LCM of 1820,1089 is 1981980.

GCF of Denominators means GCF of 600,3628 as per the given fractions.

GCF of 600,3628 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1820,1089

LCM of Fractions 1820/600,1089/3628 is 495495

Given numbers has no common factors except 1. So, there LCM is their product i.e 1981980

Least Common Multiple of 1820,1089 with GCF Formula

Least Common Multiple of 1820,1089 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 1820,1089 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1820,1089) = 1

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

GCF(1820,1089) x common factors =1 x 1 = 1

LCM(1820,1089) = ( 1820 × 1089 ) / 1

LCM(1820,1089) = 1981980 / 1

LCM(1820,1089) = 1981980


Lets's calculate GCF of 600,3628

2 600, 3628
2 300, 1814
150, 907

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1981980/4

Therefore the LCM of Fractions 1820/600,1089/3628 is 495495

Greatest Common Factor of 600,3628 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,3628 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 3628

List of positive integer factors of 3628 that divides 3628 without a remainder.

1,2,4,907,1814,3628

Greatest Common Factor

We found the factors 600,3628 . The biggest common factor number is the GCF number.
So the greatest common factor 600,3628 is 4.


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 1820/600, 1089/3628

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 1820/600, 1089/3628?

Answer: LCM of Numerators as per given numbers 1820/600, 1089/3628 is

LCM of Numerators i.e. for 1820,1089 is 1981980

GCF of denominators i.e. for 600,3628 is 4.

Thus, LCM of Fractions is 495495.Finally, LCM of Fractions for 1820/600, 1089/3628 is 495495.