Least Common Multiple of 900/290, 2289/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 900/290, 2289/952 quickly i.e. 343350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 900/290, 2289/952 is 343350.

LCM(900/290, 2289/952) = 343350

LCM of 900/290, 2289/952

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 900/290,2289/952

Given numbers are 900/290,2289/952

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 900,2289

Least Common Multiple of Numerators i.e. LCM of 900,2289 is 686700.

GCF of Denominators means GCF of 290,952 as per the given fractions.

GCF of 290,952 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 900,2289

LCM of Fractions 900/290,2289/952 is 343350

3 900, 2289
300, 763

∴ So the LCM of the given numbers is 3 x 300 x 763 = 686700

Least Common Multiple of 900,2289 with GCF Formula

Least Common Multiple of 900,2289 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 900,2289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,2289) = 3

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

GCF(900,2289) x common factors =3 x 1 = 3

LCM(900,2289) = ( 900 × 2289 ) / 3

LCM(900,2289) = 2060100 / 3

LCM(900,2289) = 686700


Lets's calculate GCF of 290,952

2 290, 952
145, 476

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 686700/2

Therefore the LCM of Fractions 900/290,2289/952 is 343350

Greatest Common Factor of 290,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,952 By Matching Biggest Common Factor Method

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 290,952 . The biggest common factor number is the GCF number.
So the greatest common factor 290,952 is 2.


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 900/290, 2289/952

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 900/290, 2289/952?

Answer: LCM of Numerators as per given numbers 900/290, 2289/952 is

LCM of Numerators i.e. for 900,2289 is 686700

GCF of denominators i.e. for 290,952 is 2.

Thus, LCM of Fractions is 343350.Finally, LCM of Fractions for 900/290, 2289/952 is 343350.