Least Common Multiple of 406/74, 404/5402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 406/74, 404/5402 quickly i.e. 82012/74 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 406/74, 404/5402 is 82012/74.

LCM(406/74, 404/5402) = 82012/74

LCM of 406/74, 404/5402

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 406/74,404/5402

Given numbers are 406/74,404/5402

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 406,404

Least Common Multiple of Numerators i.e. LCM of 406,404 is 82012.

GCF of Denominators means GCF of 74,5402 as per the given fractions.

GCF of 74,5402 is 74 as it is the largest common factor for these numbers.

Lets's calculate LCM of 406,404

LCM of Fractions 406/74,404/5402 is 82012/74

2 406, 404
203, 202

∴ So the LCM of the given numbers is 2 x 203 x 202 = 82012

Least Common Multiple of 406,404 with GCF Formula

Least Common Multiple of 406,404 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 406,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(406,404) = 2

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

GCF(406,404) x common factors =2 x 1 = 2

LCM(406,404) = ( 406 × 404 ) / 2

LCM(406,404) = 164024 / 2

LCM(406,404) = 82012


Lets's calculate GCF of 74,5402

2 74, 5402
37 37, 2701
1, 73

∴ So the GCF of the given numbers is 2 x 37 = 74

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82012/74

Therefore the LCM of Fractions 406/74,404/5402 is 82012/74

Greatest Common Factor of 74,5402 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,5402 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 5402

List of positive integer factors of 5402 that divides 5402 without a remainder.

1,2,37,73,74,146,2701,5402

Greatest Common Factor

We found the factors 74,5402 . The biggest common factor number is the GCF number.
So the greatest common factor 74,5402 is 74.


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 406/74, 404/5402

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 406/74, 404/5402?

Answer: LCM of Numerators as per given numbers 406/74, 404/5402 is

LCM of Numerators i.e. for 406,404 is 82012

GCF of denominators i.e. for 74,5402 is 74.

Thus, LCM of Fractions is 82012/74.Finally, LCM of Fractions for 406/74, 404/5402 is 82012/74.