Least Common Multiple of 270/447, 5087/381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 270/447, 5087/381 quickly i.e. 457830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 270/447, 5087/381 is 457830.

LCM(270/447, 5087/381) = 457830

LCM of 270/447, 5087/381

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 270/447,5087/381

Given numbers are 270/447,5087/381

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 270,5087

Least Common Multiple of Numerators i.e. LCM of 270,5087 is 1373490.

GCF of Denominators means GCF of 447,381 as per the given fractions.

GCF of 447,381 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 270,5087

LCM of Fractions 270/447,5087/381 is 457830

Given numbers has no common factors except 1. So, there LCM is their product i.e 1373490

Least Common Multiple of 270,5087 with GCF Formula

Least Common Multiple of 270,5087 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 270,5087 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,5087) = 1

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

GCF(270,5087) x common factors =1 x 1 = 1

LCM(270,5087) = ( 270 × 5087 ) / 1

LCM(270,5087) = 1373490 / 1

LCM(270,5087) = 1373490


Lets's calculate GCF of 447,381

3 447, 381
149, 127

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1373490/3

Therefore the LCM of Fractions 270/447,5087/381 is 457830

Greatest Common Factor of 447,381 By Matching Biggest Common Factor Method

Greatest Common Factor of 447,381 By Matching Biggest Common Factor Method

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Greatest Common Factor

We found the factors 447,381 . The biggest common factor number is the GCF number.
So the greatest common factor 447,381 is 3.


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 270/447, 5087/381

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 270/447, 5087/381?

Answer: LCM of Numerators as per given numbers 270/447, 5087/381 is

LCM of Numerators i.e. for 270,5087 is 1373490

GCF of denominators i.e. for 447,381 is 3.

Thus, LCM of Fractions is 457830.Finally, LCM of Fractions for 270/447, 5087/381 is 457830.