Least Common Multiple of 900/379, 5886/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 900/379, 5886/297 quickly i.e. 294300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 900/379, 5886/297 is 294300.

LCM(900/379, 5886/297) = 294300

LCM of 900/379, 5886/297

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 900/379,5886/297

Given numbers are 900/379,5886/297

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 900,5886

Least Common Multiple of Numerators i.e. LCM of 900,5886 is 294300.

GCF of Denominators means GCF of 379,297 as per the given fractions.

GCF of 379,297 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 900,5886

LCM of Fractions 900/379,5886/297 is 294300

2 900, 5886
3 450, 2943
3 150, 981
50, 327

∴ So the LCM of the given numbers is 2 x 3 x 3 x 50 x 327 = 294300

Least Common Multiple of 900,5886 with GCF Formula

Least Common Multiple of 900,5886 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 900,5886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,5886) = 18

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

GCF(900,5886) x common factors =18 x 1 = 18

LCM(900,5886) = ( 900 × 5886 ) / 18

LCM(900,5886) = 5297400 / 18

LCM(900,5886) = 294300


Lets's calculate GCF of 379,297

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 294300/1

Therefore the LCM of Fractions 900/379,5886/297 is 294300

Greatest Common Factor of 379,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 379,297 By Matching Biggest Common Factor Method

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 379,297 . The biggest common factor number is the GCF number.
So the greatest common factor 379,297 is 1.


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 900/379, 5886/297

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 900/379, 5886/297?

Answer: LCM of Numerators as per given numbers 900/379, 5886/297 is

LCM of Numerators i.e. for 900,5886 is 294300

GCF of denominators i.e. for 379,297 is 1.

Thus, LCM of Fractions is 294300.Finally, LCM of Fractions for 900/379, 5886/297 is 294300.