Least Common Multiple of 780/215, 5175/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 780/215, 5175/270 quickly i.e. 53820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 780/215, 5175/270 is 53820.

LCM(780/215, 5175/270) = 53820

LCM of 780/215, 5175/270

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 780/215,5175/270

Given numbers are 780/215,5175/270

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 780,5175

Least Common Multiple of Numerators i.e. LCM of 780,5175 is 269100.

GCF of Denominators means GCF of 215,270 as per the given fractions.

GCF of 215,270 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 780,5175

LCM of Fractions 780/215,5175/270 is 53820

3 780, 5175
5 260, 1725
52, 345

∴ So the LCM of the given numbers is 3 x 5 x 52 x 345 = 269100

Least Common Multiple of 780,5175 with GCF Formula

Least Common Multiple of 780,5175 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 780,5175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,5175) = 15

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

GCF(780,5175) x common factors =15 x 1 = 15

LCM(780,5175) = ( 780 × 5175 ) / 15

LCM(780,5175) = 4036500 / 15

LCM(780,5175) = 269100


Lets's calculate GCF of 215,270

5 215, 270
43, 54

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 269100/5

Therefore the LCM of Fractions 780/215,5175/270 is 53820

Greatest Common Factor of 215,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 215,270 By Matching Biggest Common Factor Method

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

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

Greatest Common Factor

We found the factors 215,270 . The biggest common factor number is the GCF number.
So the greatest common factor 215,270 is 5.


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 780/215, 5175/270

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 780/215, 5175/270?

Answer: LCM of Numerators as per given numbers 780/215, 5175/270 is

LCM of Numerators i.e. for 780,5175 is 269100

GCF of denominators i.e. for 215,270 is 5.

Thus, LCM of Fractions is 53820.Finally, LCM of Fractions for 780/215, 5175/270 is 53820.