Least Common Multiple of 406/75, 5530/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 406/75, 5530/368 quickly i.e. 160370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 406/75, 5530/368 is 160370.

LCM(406/75, 5530/368) = 160370

LCM of 406/75, 5530/368

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 406/75,5530/368

Given numbers are 406/75,5530/368

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 406,5530

Least Common Multiple of Numerators i.e. LCM of 406,5530 is 160370.

GCF of Denominators means GCF of 75,368 as per the given fractions.

GCF of 75,368 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 406,5530

LCM of Fractions 406/75,5530/368 is 160370

2 406, 5530
7 203, 2765
29, 395

∴ So the LCM of the given numbers is 2 x 7 x 29 x 395 = 160370

Least Common Multiple of 406,5530 with GCF Formula

Least Common Multiple of 406,5530 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 406,5530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(406,5530) = 14

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

GCF(406,5530) x common factors =14 x 1 = 14

LCM(406,5530) = ( 406 × 5530 ) / 14

LCM(406,5530) = 2245180 / 14

LCM(406,5530) = 160370


Lets's calculate GCF of 75,368

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160370/1

Therefore the LCM of Fractions 406/75,5530/368 is 160370

Greatest Common Factor of 75,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,368 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 75,368 . The biggest common factor number is the GCF number.
So the greatest common factor 75,368 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 406/75, 5530/368

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 406/75, 5530/368?

Answer: LCM of Numerators as per given numbers 406/75, 5530/368 is

LCM of Numerators i.e. for 406,5530 is 160370

GCF of denominators i.e. for 75,368 is 1.

Thus, LCM of Fractions is 160370.Finally, LCM of Fractions for 406/75, 5530/368 is 160370.