Least Common Multiple of 1501/900, 4160/3366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1501/900, 4160/3366 quickly i.e. 6244160/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1501/900, 4160/3366 is 6244160/18.

LCM(1501/900, 4160/3366) = 6244160/18

LCM of 1501/900, 4160/3366

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 1501/900,4160/3366

Given numbers are 1501/900,4160/3366

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 1501,4160

Least Common Multiple of Numerators i.e. LCM of 1501,4160 is 6244160.

GCF of Denominators means GCF of 900,3366 as per the given fractions.

GCF of 900,3366 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1501,4160

LCM of Fractions 1501/900,4160/3366 is 6244160/18

Given numbers has no common factors except 1. So, there LCM is their product i.e 6244160

Least Common Multiple of 1501,4160 with GCF Formula

Least Common Multiple of 1501,4160 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 1501,4160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1501,4160) = 1

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

GCF(1501,4160) x common factors =1 x 1 = 1

LCM(1501,4160) = ( 1501 × 4160 ) / 1

LCM(1501,4160) = 6244160 / 1

LCM(1501,4160) = 6244160


Lets's calculate GCF of 900,3366

2 900, 3366
3 450, 1683
3 150, 561
50, 187

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6244160/18

Therefore the LCM of Fractions 1501/900,4160/3366 is 6244160/18

Greatest Common Factor of 900,3366 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,3366 By Matching Biggest Common Factor Method

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 3366

List of positive integer factors of 3366 that divides 3366 without a remainder.

1,2,3,6,9,11,17,18,22,33,34,51,66,99,102,153,187,198,306,374,561,1122,1683,3366

Greatest Common Factor

We found the factors 900,3366 . The biggest common factor number is the GCF number.
So the greatest common factor 900,3366 is 18.


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 1501/900, 4160/3366

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 1501/900, 4160/3366?

Answer: LCM of Numerators as per given numbers 1501/900, 4160/3366 is

LCM of Numerators i.e. for 1501,4160 is 6244160

GCF of denominators i.e. for 900,3366 is 18.

Thus, LCM of Fractions is 6244160/18.Finally, LCM of Fractions for 1501/900, 4160/3366 is 6244160/18.