Least Common Multiple of 862/814, 5268/3020

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 862/814, 5268/3020 quickly i.e. 1135254 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 862/814, 5268/3020 is 1135254.

LCM(862/814, 5268/3020) = 1135254

LCM of 862/814, 5268/3020

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 862/814,5268/3020

Given numbers are 862/814,5268/3020

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 862,5268

Least Common Multiple of Numerators i.e. LCM of 862,5268 is 2270508.

GCF of Denominators means GCF of 814,3020 as per the given fractions.

GCF of 814,3020 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 862,5268

LCM of Fractions 862/814,5268/3020 is 1135254

2 862, 5268
431, 2634

∴ So the LCM of the given numbers is 2 x 431 x 2634 = 2270508

Least Common Multiple of 862,5268 with GCF Formula

Least Common Multiple of 862,5268 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 862,5268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,5268) = 2

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

GCF(862,5268) x common factors =2 x 1 = 2

LCM(862,5268) = ( 862 × 5268 ) / 2

LCM(862,5268) = 4541016 / 2

LCM(862,5268) = 2270508


Lets's calculate GCF of 814,3020

2 814, 3020
407, 1510

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2270508/2

Therefore the LCM of Fractions 862/814,5268/3020 is 1135254

Greatest Common Factor of 814,3020 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,3020 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 3020

List of positive integer factors of 3020 that divides 3020 without a remainder.

1,2,4,5,10,20,151,302,604,755,1510,3020

Greatest Common Factor

We found the factors 814,3020 . The biggest common factor number is the GCF number.
So the greatest common factor 814,3020 is 2.


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 862/814, 5268/3020

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 862/814, 5268/3020?

Answer: LCM of Numerators as per given numbers 862/814, 5268/3020 is

LCM of Numerators i.e. for 862,5268 is 2270508

GCF of denominators i.e. for 814,3020 is 2.

Thus, LCM of Fractions is 1135254.Finally, LCM of Fractions for 862/814, 5268/3020 is 1135254.