Least Common Multiple of 858/441, 2626/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 858/441, 2626/814 quickly i.e. 86658 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 858/441, 2626/814 is 86658.

LCM(858/441, 2626/814) = 86658

LCM of 858/441, 2626/814

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 858/441,2626/814

Given numbers are 858/441,2626/814

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 858,2626

Least Common Multiple of Numerators i.e. LCM of 858,2626 is 86658.

GCF of Denominators means GCF of 441,814 as per the given fractions.

GCF of 441,814 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 858,2626

LCM of Fractions 858/441,2626/814 is 86658

2 858, 2626
13 429, 1313
33, 101

∴ So the LCM of the given numbers is 2 x 13 x 33 x 101 = 86658

Least Common Multiple of 858,2626 with GCF Formula

Least Common Multiple of 858,2626 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 858,2626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(858,2626) = 26

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

GCF(858,2626) x common factors =26 x 1 = 26

LCM(858,2626) = ( 858 × 2626 ) / 26

LCM(858,2626) = 2253108 / 26

LCM(858,2626) = 86658


Lets's calculate GCF of 441,814

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86658/1

Therefore the LCM of Fractions 858/441,2626/814 is 86658

Greatest Common Factor of 441,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,814 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 814

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

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

Greatest Common Factor

We found the factors 441,814 . The biggest common factor number is the GCF number.
So the greatest common factor 441,814 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 858/441, 2626/814

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 858/441, 2626/814?

Answer: LCM of Numerators as per given numbers 858/441, 2626/814 is

LCM of Numerators i.e. for 858,2626 is 86658

GCF of denominators i.e. for 441,814 is 1.

Thus, LCM of Fractions is 86658.Finally, LCM of Fractions for 858/441, 2626/814 is 86658.