Least Common Multiple of 74/80, 971/28, 904/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/80, 971/28, 904/409 quickly i.e. 32478008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/80, 971/28, 904/409 is 32478008.

LCM(74/80, 971/28, 904/409) = 32478008

LCM of 74/80, 971/28, 904/409

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 74/80,971/28,904/409

Given numbers are 74/80,971/28,904/409

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 74,971,904

Least Common Multiple of Numerators i.e. LCM of 74,971,904 is 32478008.

GCF of Denominators means GCF of 80,28,409 as per the given fractions.

GCF of 80,28,409 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,971,904

LCM of Fractions 74/80,971/28,904/409 is 32478008

2 74, 971, 904
37, 971, 452

∴ So the LCM of the given numbers is 2 x 37 x 971 x 452 = 32478008

Least Common Multiple of 74,971,904 with GCF Formula

Least Common Multiple of 74,971,904 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 74,971,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,971,904) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,971,904) x common factors =1 x 2 = 2

LCM(74,971,904) = ( 74 × 971 × 904 ) / 2

LCM(74,971,904) = 64956016 / 2

LCM(74,971,904) = 32478008


Lets's calculate GCF of 80,28,409

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32478008/1

Therefore the LCM of Fractions 74/80,971/28,904/409 is 32478008

Greatest Common Factor of 80,28,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,28,409 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 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Greatest Common Factor

We found the factors 80,28,409 . The biggest common factor number is the GCF number.
So the greatest common factor 80,28,409 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 74/80, 971/28, 904/409

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 74/80, 971/28, 904/409?

Answer: LCM of Numerators as per given numbers 74/80, 971/28, 904/409 is

LCM of Numerators i.e. for 74,971,904 is 32478008

GCF of denominators i.e. for 80,28,409 is 1.

Thus, LCM of Fractions is 32478008.Finally, LCM of Fractions for 74/80, 971/28, 904/409 is 32478008.