Least Common Multiple of 617/300, 501/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 617/300, 501/900 quickly i.e. 309117/300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 617/300, 501/900 is 309117/300.

LCM(617/300, 501/900) = 309117/300

LCM of 617/300, 501/900

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 617/300,501/900

Given numbers are 617/300,501/900

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 617,501

Least Common Multiple of Numerators i.e. LCM of 617,501 is 309117.

GCF of Denominators means GCF of 300,900 as per the given fractions.

GCF of 300,900 is 300 as it is the largest common factor for these numbers.

Lets's calculate LCM of 617,501

LCM of Fractions 617/300,501/900 is 309117/300

Given numbers has no common factors except 1. So, there LCM is their product i.e 309117

Least Common Multiple of 617,501 with GCF Formula

Least Common Multiple of 617,501 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 617,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(617,501) = 1

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

GCF(617,501) x common factors =1 x 1 = 1

LCM(617,501) = ( 617 × 501 ) / 1

LCM(617,501) = 309117 / 1

LCM(617,501) = 309117


Lets's calculate GCF of 300,900

2 300, 900
2 150, 450
3 75, 225
5 25, 75
5 5, 15
1, 3

∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 x 5 = 300

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 309117/300

Therefore the LCM of Fractions 617/300,501/900 is 309117/300

Greatest Common Factor of 300,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,900 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 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

Greatest Common Factor

We found the factors 300,900 . The biggest common factor number is the GCF number.
So the greatest common factor 300,900 is 300.


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 617/300, 501/900

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 617/300, 501/900?

Answer: LCM of Numerators as per given numbers 617/300, 501/900 is

LCM of Numerators i.e. for 617,501 is 309117

GCF of denominators i.e. for 300,900 is 300.

Thus, LCM of Fractions is 309117/300.Finally, LCM of Fractions for 617/300, 501/900 is 309117/300.