Least Common Multiple of 5315/225, 5052/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5315/225, 5052/300 quickly i.e. 26851380/75 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5315/225, 5052/300 is 26851380/75.

LCM(5315/225, 5052/300) = 26851380/75

LCM of 5315/225, 5052/300

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 5315/225,5052/300

Given numbers are 5315/225,5052/300

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 5315,5052

Least Common Multiple of Numerators i.e. LCM of 5315,5052 is 26851380.

GCF of Denominators means GCF of 225,300 as per the given fractions.

GCF of 225,300 is 75 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5315,5052

LCM of Fractions 5315/225,5052/300 is 26851380/75

Given numbers has no common factors except 1. So, there LCM is their product i.e 26851380

Least Common Multiple of 5315,5052 with GCF Formula

Least Common Multiple of 5315,5052 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 5315,5052 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5315,5052) = 1

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

GCF(5315,5052) x common factors =1 x 1 = 1

LCM(5315,5052) = ( 5315 × 5052 ) / 1

LCM(5315,5052) = 26851380 / 1

LCM(5315,5052) = 26851380


Lets's calculate GCF of 225,300

3 225, 300
5 75, 100
5 15, 20
3, 4

∴ So the GCF of the given numbers is 3 x 5 x 5 = 75

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26851380/75

Therefore the LCM of Fractions 5315/225,5052/300 is 26851380/75

Greatest Common Factor of 225,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,300 By Matching Biggest Common Factor Method

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

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

Greatest Common Factor

We found the factors 225,300 . The biggest common factor number is the GCF number.
So the greatest common factor 225,300 is 75.


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 5315/225, 5052/300

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 5315/225, 5052/300?

Answer: LCM of Numerators as per given numbers 5315/225, 5052/300 is

LCM of Numerators i.e. for 5315,5052 is 26851380

GCF of denominators i.e. for 225,300 is 75.

Thus, LCM of Fractions is 26851380/75.Finally, LCM of Fractions for 5315/225, 5052/300 is 26851380/75.