Least Common Multiple of 407/864, 3772/303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 407/864, 3772/303 quickly i.e. 1535204/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 407/864, 3772/303 is 1535204/3.

LCM(407/864, 3772/303) = 1535204/3

LCM of 407/864, 3772/303

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 407/864,3772/303

Given numbers are 407/864,3772/303

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 407,3772

Least Common Multiple of Numerators i.e. LCM of 407,3772 is 1535204.

GCF of Denominators means GCF of 864,303 as per the given fractions.

GCF of 864,303 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 407,3772

LCM of Fractions 407/864,3772/303 is 1535204/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 1535204

Least Common Multiple of 407,3772 with GCF Formula

Least Common Multiple of 407,3772 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 407,3772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,3772) = 1

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

GCF(407,3772) x common factors =1 x 1 = 1

LCM(407,3772) = ( 407 × 3772 ) / 1

LCM(407,3772) = 1535204 / 1

LCM(407,3772) = 1535204


Lets's calculate GCF of 864,303

3 864, 303
288, 101

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1535204/3

Therefore the LCM of Fractions 407/864,3772/303 is 1535204/3

Greatest Common Factor of 864,303 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,303 By Matching Biggest Common Factor Method

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Greatest Common Factor

We found the factors 864,303 . The biggest common factor number is the GCF number.
So the greatest common factor 864,303 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 407/864, 3772/303

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 407/864, 3772/303?

Answer: LCM of Numerators as per given numbers 407/864, 3772/303 is

LCM of Numerators i.e. for 407,3772 is 1535204

GCF of denominators i.e. for 864,303 is 3.

Thus, LCM of Fractions is 1535204/3.Finally, LCM of Fractions for 407/864, 3772/303 is 1535204/3.