Least Common Multiple of 45/270, 286/500, 841/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/270, 286/500, 841/780 quickly i.e. 1082367 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/270, 286/500, 841/780 is 1082367.

LCM(45/270, 286/500, 841/780) = 1082367

LCM of 45/270, 286/500, 841/780

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 45/270,286/500,841/780

Given numbers are 45/270,286/500,841/780

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 45,286,841

Least Common Multiple of Numerators i.e. LCM of 45,286,841 is 10823670.

GCF of Denominators means GCF of 270,500,780 as per the given fractions.

GCF of 270,500,780 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,286,841

LCM of Fractions 45/270,286/500,841/780 is 1082367

Given numbers has no common factors except 1. So, there LCM is their product i.e 10823670

Least Common Multiple of 45,286,841 with GCF Formula

Least Common Multiple of 45,286,841 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 45,286,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,286,841) = 1

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

GCF(45,286,841) x common factors =1 x 1 = 1

LCM(45,286,841) = ( 45 × 286 × 841 ) / 1

LCM(45,286,841) = 10823670 / 1

LCM(45,286,841) = 10823670


Lets's calculate GCF of 270,500,780

2 270, 500, 780
5 135, 250, 390
27, 50, 78

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10823670/10

Therefore the LCM of Fractions 45/270,286/500,841/780 is 1082367

Greatest Common Factor of 270,500,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,500,780 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 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 270,500,780 . The biggest common factor number is the GCF number.
So the greatest common factor 270,500,780 is 10.


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 45/270, 286/500, 841/780

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 45/270, 286/500, 841/780?

Answer: LCM of Numerators as per given numbers 45/270, 286/500, 841/780 is

LCM of Numerators i.e. for 45,286,841 is 10823670

GCF of denominators i.e. for 270,500,780 is 10.

Thus, LCM of Fractions is 1082367.Finally, LCM of Fractions for 45/270, 286/500, 841/780 is 1082367.