Least Common Multiple of 133/300, 510/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 133/300, 510/845 quickly i.e. 13566 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 133/300, 510/845 is 13566.

LCM(133/300, 510/845) = 13566

LCM of 133/300, 510/845

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 133/300,510/845

Given numbers are 133/300,510/845

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 133,510

Least Common Multiple of Numerators i.e. LCM of 133,510 is 67830.

GCF of Denominators means GCF of 300,845 as per the given fractions.

GCF of 300,845 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 133,510

LCM of Fractions 133/300,510/845 is 13566

Given numbers has no common factors except 1. So, there LCM is their product i.e 67830

Least Common Multiple of 133,510 with GCF Formula

Least Common Multiple of 133,510 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 133,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(133,510) = 1

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

GCF(133,510) x common factors =1 x 1 = 1

LCM(133,510) = ( 133 × 510 ) / 1

LCM(133,510) = 67830 / 1

LCM(133,510) = 67830


Lets's calculate GCF of 300,845

5 300, 845
60, 169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67830/5

Therefore the LCM of Fractions 133/300,510/845 is 13566

Greatest Common Factor of 300,845 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,845 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Greatest Common Factor

We found the factors 300,845 . The biggest common factor number is the GCF number.
So the greatest common factor 300,845 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 133/300, 510/845

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 133/300, 510/845?

Answer: LCM of Numerators as per given numbers 133/300, 510/845 is

LCM of Numerators i.e. for 133,510 is 67830

GCF of denominators i.e. for 300,845 is 5.

Thus, LCM of Fractions is 13566.Finally, LCM of Fractions for 133/300, 510/845 is 13566.