Least Common Multiple of 31/699, 825/401, 495/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/699, 825/401, 495/408 quickly i.e. 76725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/699, 825/401, 495/408 is 76725.

LCM(31/699, 825/401, 495/408) = 76725

LCM of 31/699, 825/401, 495/408

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 31/699,825/401,495/408

Given numbers are 31/699,825/401,495/408

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 31,825,495

Least Common Multiple of Numerators i.e. LCM of 31,825,495 is 76725.

GCF of Denominators means GCF of 699,401,408 as per the given fractions.

GCF of 699,401,408 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,825,495

LCM of Fractions 31/699,825/401,495/408 is 76725

3 31, 825, 495
5 31, 275, 165
11 31, 55, 33
31, 5, 3

∴ So the LCM of the given numbers is 3 x 5 x 11 x 31 x 5 x 3 = 76725

Least Common Multiple of 31,825,495 with GCF Formula

Least Common Multiple of 31,825,495 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 31,825,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,825,495) = 1

common factors(in case of two or more numbers have common factors) = 165

GCF(31,825,495) x common factors =1 x 165 = 165

LCM(31,825,495) = ( 31 × 825 × 495 ) / 165

LCM(31,825,495) = 12659625 / 165

LCM(31,825,495) = 76725


Lets's calculate GCF of 699,401,408

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76725/1

Therefore the LCM of Fractions 31/699,825/401,495/408 is 76725

Greatest Common Factor of 699,401,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 699,401,408 By Matching Biggest Common Factor Method

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 401

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

1,401

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 699,401,408 . The biggest common factor number is the GCF number.
So the greatest common factor 699,401,408 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 31/699, 825/401, 495/408

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 31/699, 825/401, 495/408?

Answer: LCM of Numerators as per given numbers 31/699, 825/401, 495/408 is

LCM of Numerators i.e. for 31,825,495 is 76725

GCF of denominators i.e. for 699,401,408 is 1.

Thus, LCM of Fractions is 76725.Finally, LCM of Fractions for 31/699, 825/401, 495/408 is 76725.