Least Common Multiple of 25/74, 814/80, 403/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/74, 814/80, 403/136 quickly i.e. 4100525 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/74, 814/80, 403/136 is 4100525.

LCM(25/74, 814/80, 403/136) = 4100525

LCM of 25/74, 814/80, 403/136

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 25/74,814/80,403/136

Given numbers are 25/74,814/80,403/136

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 25,814,403

Least Common Multiple of Numerators i.e. LCM of 25,814,403 is 8201050.

GCF of Denominators means GCF of 74,80,136 as per the given fractions.

GCF of 74,80,136 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,814,403

LCM of Fractions 25/74,814/80,403/136 is 4100525

Given numbers has no common factors except 1. So, there LCM is their product i.e 8201050

Least Common Multiple of 25,814,403 with GCF Formula

Least Common Multiple of 25,814,403 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 25,814,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,814,403) = 1

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

GCF(25,814,403) x common factors =1 x 1 = 1

LCM(25,814,403) = ( 25 × 814 × 403 ) / 1

LCM(25,814,403) = 8201050 / 1

LCM(25,814,403) = 8201050


Lets's calculate GCF of 74,80,136

2 74, 80, 136
37, 40, 68

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8201050/2

Therefore the LCM of Fractions 25/74,814/80,403/136 is 4100525

Greatest Common Factor of 74,80,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,80,136 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 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 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 74,80,136 . The biggest common factor number is the GCF number.
So the greatest common factor 74,80,136 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 25/74, 814/80, 403/136

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 25/74, 814/80, 403/136?

Answer: LCM of Numerators as per given numbers 25/74, 814/80, 403/136 is

LCM of Numerators i.e. for 25,814,403 is 8201050

GCF of denominators i.e. for 74,80,136 is 2.

Thus, LCM of Fractions is 4100525.Finally, LCM of Fractions for 25/74, 814/80, 403/136 is 4100525.