Least Common Multiple of 7/406, 81/356, 74/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/406, 81/356, 74/226 quickly i.e. 20979 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/406, 81/356, 74/226 is 20979.

LCM(7/406, 81/356, 74/226) = 20979

LCM of 7/406, 81/356, 74/226

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 7/406,81/356,74/226

Given numbers are 7/406,81/356,74/226

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 7,81,74

Least Common Multiple of Numerators i.e. LCM of 7,81,74 is 41958.

GCF of Denominators means GCF of 406,356,226 as per the given fractions.

GCF of 406,356,226 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,81,74

LCM of Fractions 7/406,81/356,74/226 is 20979

Given numbers has no common factors except 1. So, there LCM is their product i.e 41958

Least Common Multiple of 7,81,74 with GCF Formula

Least Common Multiple of 7,81,74 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 7,81,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,81,74) = 1

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

GCF(7,81,74) x common factors =1 x 1 = 1

LCM(7,81,74) = ( 7 × 81 × 74 ) / 1

LCM(7,81,74) = 41958 / 1

LCM(7,81,74) = 41958


Lets's calculate GCF of 406,356,226

2 406, 356, 226
203, 178, 113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41958/2

Therefore the LCM of Fractions 7/406,81/356,74/226 is 20979

Greatest Common Factor of 406,356,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,356,226 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 406,356,226 . The biggest common factor number is the GCF number.
So the greatest common factor 406,356,226 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 7/406, 81/356, 74/226

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 7/406, 81/356, 74/226?

Answer: LCM of Numerators as per given numbers 7/406, 81/356, 74/226 is

LCM of Numerators i.e. for 7,81,74 is 41958

GCF of denominators i.e. for 406,356,226 is 2.

Thus, LCM of Fractions is 20979.Finally, LCM of Fractions for 7/406, 81/356, 74/226 is 20979.