Least Common Multiple of 31/401, 816/254, 547/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/401, 816/254, 547/550 quickly i.e. 13836912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/401, 816/254, 547/550 is 13836912.

LCM(31/401, 816/254, 547/550) = 13836912

LCM of 31/401, 816/254, 547/550

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 31/401,816/254,547/550

Given numbers are 31/401,816/254,547/550

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 31,816,547

Least Common Multiple of Numerators i.e. LCM of 31,816,547 is 13836912.

GCF of Denominators means GCF of 401,254,550 as per the given fractions.

GCF of 401,254,550 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,816,547

LCM of Fractions 31/401,816/254,547/550 is 13836912

Given numbers has no common factors except 1. So, there LCM is their product i.e 13836912

Least Common Multiple of 31,816,547 with GCF Formula

Least Common Multiple of 31,816,547 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 31,816,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,816,547) = 1

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

GCF(31,816,547) x common factors =1 x 1 = 1

LCM(31,816,547) = ( 31 × 816 × 547 ) / 1

LCM(31,816,547) = 13836912 / 1

LCM(31,816,547) = 13836912


Lets's calculate GCF of 401,254,550

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13836912/1

Therefore the LCM of Fractions 31/401,816/254,547/550 is 13836912

Greatest Common Factor of 401,254,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 401,254,550 By Matching Biggest Common Factor Method

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 401,254,550 . The biggest common factor number is the GCF number.
So the greatest common factor 401,254,550 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 31/401, 816/254, 547/550

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 31/401, 816/254, 547/550?

Answer: LCM of Numerators as per given numbers 31/401, 816/254, 547/550 is

LCM of Numerators i.e. for 31,816,547 is 13836912

GCF of denominators i.e. for 401,254,550 is 1.

Thus, LCM of Fractions is 13836912.Finally, LCM of Fractions for 31/401, 816/254, 547/550 is 13836912.