Least Common Multiple of 908/80, 367/20, 177/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 908/80, 367/20, 177/404 quickly i.e. 14745693 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 908/80, 367/20, 177/404 is 14745693.

LCM(908/80, 367/20, 177/404) = 14745693

LCM of 908/80, 367/20, 177/404

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 908/80,367/20,177/404

Given numbers are 908/80,367/20,177/404

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 908,367,177

Least Common Multiple of Numerators i.e. LCM of 908,367,177 is 58982772.

GCF of Denominators means GCF of 80,20,404 as per the given fractions.

GCF of 80,20,404 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 908,367,177

LCM of Fractions 908/80,367/20,177/404 is 14745693

Given numbers has no common factors except 1. So, there LCM is their product i.e 58982772

Least Common Multiple of 908,367,177 with GCF Formula

Least Common Multiple of 908,367,177 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 908,367,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(908,367,177) = 1

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

GCF(908,367,177) x common factors =1 x 1 = 1

LCM(908,367,177) = ( 908 × 367 × 177 ) / 1

LCM(908,367,177) = 58982772 / 1

LCM(908,367,177) = 58982772


Lets's calculate GCF of 80,20,404

2 80, 20, 404
2 40, 10, 202
20, 5, 101

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58982772/4

Therefore the LCM of Fractions 908/80,367/20,177/404 is 14745693

Greatest Common Factor of 80,20,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,20,404 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Greatest Common Factor

We found the factors 80,20,404 . The biggest common factor number is the GCF number.
So the greatest common factor 80,20,404 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 908/80, 367/20, 177/404

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 908/80, 367/20, 177/404?

Answer: LCM of Numerators as per given numbers 908/80, 367/20, 177/404 is

LCM of Numerators i.e. for 908,367,177 is 58982772

GCF of denominators i.e. for 80,20,404 is 4.

Thus, LCM of Fractions is 14745693.Finally, LCM of Fractions for 908/80, 367/20, 177/404 is 14745693.