Least Common Multiple of 300/50, 859/9360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/50, 859/9360 quickly i.e. 25770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/50, 859/9360 is 25770.

LCM(300/50, 859/9360) = 25770

LCM of 300/50, 859/9360

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 300/50,859/9360

Given numbers are 300/50,859/9360

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 300,859

Least Common Multiple of Numerators i.e. LCM of 300,859 is 257700.

GCF of Denominators means GCF of 50,9360 as per the given fractions.

GCF of 50,9360 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,859

LCM of Fractions 300/50,859/9360 is 25770

Given numbers has no common factors except 1. So, there LCM is their product i.e 257700

Least Common Multiple of 300,859 with GCF Formula

Least Common Multiple of 300,859 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 300,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,859) = 1

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

GCF(300,859) x common factors =1 x 1 = 1

LCM(300,859) = ( 300 × 859 ) / 1

LCM(300,859) = 257700 / 1

LCM(300,859) = 257700


Lets's calculate GCF of 50,9360

2 50, 9360
5 25, 4680
5, 936

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 257700/10

Therefore the LCM of Fractions 300/50,859/9360 is 25770

Greatest Common Factor of 50,9360 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,9360 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 9360

List of positive integer factors of 9360 that divides 9360 without a remainder.

1,2,3,4,5,6,8,9,10,12,13,15,16,18,20,24,26,30,36,39,40,45,48,52,60,65,72,78,80,90,104,117,120,130,144,156,180,195,208,234,240,260,312,360,390,468,520,585,624,720,780,936,1040,1170,1560,1872,2340,3120,4680,9360

Greatest Common Factor

We found the factors 50,9360 . The biggest common factor number is the GCF number.
So the greatest common factor 50,9360 is 10.


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 300/50, 859/9360

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 300/50, 859/9360?

Answer: LCM of Numerators as per given numbers 300/50, 859/9360 is

LCM of Numerators i.e. for 300,859 is 257700

GCF of denominators i.e. for 50,9360 is 10.

Thus, LCM of Fractions is 25770.Finally, LCM of Fractions for 300/50, 859/9360 is 25770.