Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 90/789, 63/353, 421/975 quickly i.e. 265230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 90/789, 63/353, 421/975 is 265230.
LCM(90/789, 63/353, 421/975) = 265230
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 90/789,63/353,421/975
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 90,63,421
Least Common Multiple of Numerators i.e. LCM of 90,63,421 is 265230.
GCF of Denominators means GCF of 789,353,975 as per the given fractions.
GCF of 789,353,975 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 90,63,421
3 | 90, 63, 421 |
3 | 30, 21, 421 |
10, 7, 421 |
∴ So the LCM of the given numbers is 3 x 3 x 10 x 7 x 421 = 265230
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 90,63,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,63,421) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(90,63,421) x common factors =1 x 9 = 9
LCM(90,63,421) = ( 90 × 63 × 421 ) / 9
LCM(90,63,421) = 2387070 / 9
LCM(90,63,421) = 265230
Lets's calculate GCF of 789,353,975
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 265230/1
Therefore the LCM of Fractions 90/789,63/353,421/975 is 265230
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Factors of 353
List of positive integer factors of 353 that divides 353 without a remainder.
1,353
Factors of 975
List of positive integer factors of 975 that divides 975 without a remainder.
1,3,5,13,15,25,39,65,75,195,325,975
Greatest Common Factor
We found the factors 789,353,975 . The biggest common factor number is the GCF number.
So the greatest common factor 789,353,975 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 90/789, 63/353, 421/975?
Answer: LCM of Numerators as per given numbers 90/789, 63/353, 421/975 is
LCM of Numerators i.e. for 90,63,421 is 265230
GCF of denominators i.e. for 789,353,975 is 1.
Thus, LCM of Fractions is 265230.Finally, LCM of Fractions for 90/789, 63/353, 421/975 is 265230.