Least Common Multiple of 363/903, 808/120, 296/995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 363/903, 808/120, 296/995 quickly i.e. 10852248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 363/903, 808/120, 296/995 is 10852248.

LCM(363/903, 808/120, 296/995) = 10852248

LCM of 363/903, 808/120, 296/995

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 363/903,808/120,296/995

Given numbers are 363/903,808/120,296/995

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 363,808,296

Least Common Multiple of Numerators i.e. LCM of 363,808,296 is 10852248.

GCF of Denominators means GCF of 903,120,995 as per the given fractions.

GCF of 903,120,995 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 363,808,296

LCM of Fractions 363/903,808/120,296/995 is 10852248

2 363, 808, 296
2 363, 404, 148
2 363, 202, 74
363, 101, 37

∴ So the LCM of the given numbers is 2 x 2 x 2 x 363 x 101 x 37 = 10852248

Least Common Multiple of 363,808,296 with GCF Formula

Least Common Multiple of 363,808,296 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 363,808,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,808,296) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(363,808,296) x common factors =1 x 8 = 8

LCM(363,808,296) = ( 363 × 808 × 296 ) / 8

LCM(363,808,296) = 86817984 / 8

LCM(363,808,296) = 10852248


Lets's calculate GCF of 903,120,995

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10852248/1

Therefore the LCM of Fractions 363/903,808/120,296/995 is 10852248

Greatest Common Factor of 903,120,995 By Matching Biggest Common Factor Method

Greatest Common Factor of 903,120,995 By Matching Biggest Common Factor Method

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Greatest Common Factor

We found the factors 903,120,995 . The biggest common factor number is the GCF number.
So the greatest common factor 903,120,995 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 363/903, 808/120, 296/995

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 363/903, 808/120, 296/995?

Answer: LCM of Numerators as per given numbers 363/903, 808/120, 296/995 is

LCM of Numerators i.e. for 363,808,296 is 10852248

GCF of denominators i.e. for 903,120,995 is 1.

Thus, LCM of Fractions is 10852248.Finally, LCM of Fractions for 363/903, 808/120, 296/995 is 10852248.