Least Common Multiple of 406/11, 844/67, 725/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 406/11, 844/67, 725/806 quickly i.e. 4283300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 406/11, 844/67, 725/806 is 4283300.

LCM(406/11, 844/67, 725/806) = 4283300

LCM of 406/11, 844/67, 725/806

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 406/11,844/67,725/806

Given numbers are 406/11,844/67,725/806

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 406,844,725

Least Common Multiple of Numerators i.e. LCM of 406,844,725 is 4283300.

GCF of Denominators means GCF of 11,67,806 as per the given fractions.

GCF of 11,67,806 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 406,844,725

LCM of Fractions 406/11,844/67,725/806 is 4283300

2 406, 844, 725
29 203, 422, 725
7, 422, 25

∴ So the LCM of the given numbers is 2 x 29 x 7 x 422 x 25 = 4283300

Least Common Multiple of 406,844,725 with GCF Formula

Least Common Multiple of 406,844,725 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 406,844,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(406,844,725) = 1

common factors(in case of two or more numbers have common factors) = 58

GCF(406,844,725) x common factors =1 x 58 = 58

LCM(406,844,725) = ( 406 × 844 × 725 ) / 58

LCM(406,844,725) = 248431400 / 58

LCM(406,844,725) = 4283300


Lets's calculate GCF of 11,67,806

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4283300/1

Therefore the LCM of Fractions 406/11,844/67,725/806 is 4283300

Greatest Common Factor of 11,67,806 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,67,806 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Greatest Common Factor

We found the factors 11,67,806 . The biggest common factor number is the GCF number.
So the greatest common factor 11,67,806 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 406/11, 844/67, 725/806

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 406/11, 844/67, 725/806?

Answer: LCM of Numerators as per given numbers 406/11, 844/67, 725/806 is

LCM of Numerators i.e. for 406,844,725 is 4283300

GCF of denominators i.e. for 11,67,806 is 1.

Thus, LCM of Fractions is 4283300.Finally, LCM of Fractions for 406/11, 844/67, 725/806 is 4283300.