Least Common Multiple of 872/26, 401/9486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 872/26, 401/9486 quickly i.e. 174836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 872/26, 401/9486 is 174836.

LCM(872/26, 401/9486) = 174836

LCM of 872/26, 401/9486

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 872/26,401/9486

Given numbers are 872/26,401/9486

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 872,401

Least Common Multiple of Numerators i.e. LCM of 872,401 is 349672.

GCF of Denominators means GCF of 26,9486 as per the given fractions.

GCF of 26,9486 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 872,401

LCM of Fractions 872/26,401/9486 is 174836

Given numbers has no common factors except 1. So, there LCM is their product i.e 349672

Least Common Multiple of 872,401 with GCF Formula

Least Common Multiple of 872,401 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 872,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,401) = 1

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

GCF(872,401) x common factors =1 x 1 = 1

LCM(872,401) = ( 872 × 401 ) / 1

LCM(872,401) = 349672 / 1

LCM(872,401) = 349672


Lets's calculate GCF of 26,9486

2 26, 9486
13, 4743

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 349672/2

Therefore the LCM of Fractions 872/26,401/9486 is 174836

Greatest Common Factor of 26,9486 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,9486 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 9486

List of positive integer factors of 9486 that divides 9486 without a remainder.

1,2,3,6,9,17,18,31,34,51,62,93,102,153,186,279,306,527,558,1054,1581,3162,4743,9486

Greatest Common Factor

We found the factors 26,9486 . The biggest common factor number is the GCF number.
So the greatest common factor 26,9486 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 872/26, 401/9486

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 872/26, 401/9486?

Answer: LCM of Numerators as per given numbers 872/26, 401/9486 is

LCM of Numerators i.e. for 872,401 is 349672

GCF of denominators i.e. for 26,9486 is 2.

Thus, LCM of Fractions is 174836.Finally, LCM of Fractions for 872/26, 401/9486 is 174836.