Least Common Multiple of 814/13, 748/36, 814/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 814/13, 748/36, 814/231 quickly i.e. 27676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 814/13, 748/36, 814/231 is 27676.

LCM(814/13, 748/36, 814/231) = 27676

LCM of 814/13, 748/36, 814/231

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 814/13,748/36,814/231

Given numbers are 814/13,748/36,814/231

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 814,748,814

Least Common Multiple of Numerators i.e. LCM of 814,748,814 is 27676.

GCF of Denominators means GCF of 13,36,231 as per the given fractions.

GCF of 13,36,231 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 814,748,814

LCM of Fractions 814/13,748/36,814/231 is 27676

2 814, 748, 814
11 407, 374, 407
37 37, 34, 37
1, 34, 1

∴ So the LCM of the given numbers is 2 x 11 x 37 x 1 x 34 x 1 = 27676

Least Common Multiple of 814,748,814 with GCF Formula

Least Common Multiple of 814,748,814 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 814,748,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,748,814) = 22

common factors(in case of two or more numbers have common factors) = 814

GCF(814,748,814) x common factors =22 x 814 = 17908

LCM(814,748,814) = ( 814 × 748 × 814 ) / 17908

LCM(814,748,814) = 495621808 / 17908

LCM(814,748,814) = 27676


Lets's calculate GCF of 13,36,231

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27676/1

Therefore the LCM of Fractions 814/13,748/36,814/231 is 27676

Greatest Common Factor of 13,36,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,36,231 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 13,36,231 . The biggest common factor number is the GCF number.
So the greatest common factor 13,36,231 is 1.


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 814/13, 748/36, 814/231

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 814/13, 748/36, 814/231?

Answer: LCM of Numerators as per given numbers 814/13, 748/36, 814/231 is

LCM of Numerators i.e. for 814,748,814 is 27676

GCF of denominators i.e. for 13,36,231 is 1.

Thus, LCM of Fractions is 27676.Finally, LCM of Fractions for 814/13, 748/36, 814/231 is 27676.