Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 608/99, 600/90, 650/212 quickly i.e. 592800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 608/99, 600/90, 650/212 is 592800.
LCM(608/99, 600/90, 650/212) = 592800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 608/99,600/90,650/212
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 608,600,650
Least Common Multiple of Numerators i.e. LCM of 608,600,650 is 592800.
GCF of Denominators means GCF of 99,90,212 as per the given fractions.
GCF of 99,90,212 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 608,600,650
2 | 608, 600, 650 |
2 | 304, 300, 325 |
2 | 152, 150, 325 |
5 | 76, 75, 325 |
5 | 76, 15, 65 |
76, 3, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 5 x 76 x 3 x 13 = 592800
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 608,600,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,600,650) = 2
common factors(in case of two or more numbers have common factors) = 200
GCF(608,600,650) x common factors =2 x 200 = 400
LCM(608,600,650) = ( 608 × 600 × 650 ) / 400
LCM(608,600,650) = 237120000 / 400
LCM(608,600,650) = 592800
Lets's calculate GCF of 99,90,212
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 592800/1
Therefore the LCM of Fractions 608/99,600/90,650/212 is 592800
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 212
List of positive integer factors of 212 that divides 212 without a remainder.
1,2,4,53,106,212
Greatest Common Factor
We found the factors 99,90,212 . The biggest common factor number is the GCF number.
So the greatest common factor 99,90,212 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 608/99, 600/90, 650/212?
Answer: LCM of Numerators as per given numbers 608/99, 600/90, 650/212 is
LCM of Numerators i.e. for 608,600,650 is 592800
GCF of denominators i.e. for 99,90,212 is 1.
Thus, LCM of Fractions is 592800.Finally, LCM of Fractions for 608/99, 600/90, 650/212 is 592800.