Least Common Multiple of 51/270, 8915/6420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/270, 8915/6420 quickly i.e. 454665/30 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/270, 8915/6420 is 454665/30.

LCM(51/270, 8915/6420) = 454665/30

LCM of 51/270, 8915/6420

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 51/270,8915/6420

Given numbers are 51/270,8915/6420

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 51,8915

Least Common Multiple of Numerators i.e. LCM of 51,8915 is 454665.

GCF of Denominators means GCF of 270,6420 as per the given fractions.

GCF of 270,6420 is 30 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,8915

LCM of Fractions 51/270,8915/6420 is 454665/30

Given numbers has no common factors except 1. So, there LCM is their product i.e 454665

Least Common Multiple of 51,8915 with GCF Formula

Least Common Multiple of 51,8915 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 51,8915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,8915) = 1

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

GCF(51,8915) x common factors =1 x 1 = 1

LCM(51,8915) = ( 51 × 8915 ) / 1

LCM(51,8915) = 454665 / 1

LCM(51,8915) = 454665


Lets's calculate GCF of 270,6420

2 270, 6420
3 135, 3210
5 45, 1070
9, 214

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 454665/30

Therefore the LCM of Fractions 51/270,8915/6420 is 454665/30

Greatest Common Factor of 270,6420 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,6420 By Matching Biggest Common Factor Method

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 6420

List of positive integer factors of 6420 that divides 6420 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,107,214,321,428,535,642,1070,1284,1605,2140,3210,6420

Greatest Common Factor

We found the factors 270,6420 . The biggest common factor number is the GCF number.
So the greatest common factor 270,6420 is 30.


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 51/270, 8915/6420

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 51/270, 8915/6420?

Answer: LCM of Numerators as per given numbers 51/270, 8915/6420 is

LCM of Numerators i.e. for 51,8915 is 454665

GCF of denominators i.e. for 270,6420 is 30.

Thus, LCM of Fractions is 454665/30.Finally, LCM of Fractions for 51/270, 8915/6420 is 454665/30.