Least Common Multiple of 381/10, 286/5025

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 381/10, 286/5025 quickly i.e. 108966/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 381/10, 286/5025 is 108966/5.

LCM(381/10, 286/5025) = 108966/5

LCM of 381/10, 286/5025

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 381/10,286/5025

Given numbers are 381/10,286/5025

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 381,286

Least Common Multiple of Numerators i.e. LCM of 381,286 is 108966.

GCF of Denominators means GCF of 10,5025 as per the given fractions.

GCF of 10,5025 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 381,286

LCM of Fractions 381/10,286/5025 is 108966/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 108966

Least Common Multiple of 381,286 with GCF Formula

Least Common Multiple of 381,286 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 381,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,286) = 1

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

GCF(381,286) x common factors =1 x 1 = 1

LCM(381,286) = ( 381 × 286 ) / 1

LCM(381,286) = 108966 / 1

LCM(381,286) = 108966


Lets's calculate GCF of 10,5025

5 10, 5025
2, 1005

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108966/5

Therefore the LCM of Fractions 381/10,286/5025 is 108966/5

Greatest Common Factor of 10,5025 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,5025 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 5025

List of positive integer factors of 5025 that divides 5025 without a remainder.

1,3,5,15,25,67,75,201,335,1005,1675,5025

Greatest Common Factor

We found the factors 10,5025 . The biggest common factor number is the GCF number.
So the greatest common factor 10,5025 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 381/10, 286/5025

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 381/10, 286/5025?

Answer: LCM of Numerators as per given numbers 381/10, 286/5025 is

LCM of Numerators i.e. for 381,286 is 108966

GCF of denominators i.e. for 10,5025 is 5.

Thus, LCM of Fractions is 108966/5.Finally, LCM of Fractions for 381/10, 286/5025 is 108966/5.