Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 948/21, 452/12, 815/699 quickly i.e. 29102020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 948/21, 452/12, 815/699 is 29102020.
LCM(948/21, 452/12, 815/699) = 29102020
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 948/21,452/12,815/699
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 948,452,815
Least Common Multiple of Numerators i.e. LCM of 948,452,815 is 87306060.
GCF of Denominators means GCF of 21,12,699 as per the given fractions.
GCF of 21,12,699 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 948,452,815
2 | 948, 452, 815 |
2 | 474, 226, 815 |
237, 113, 815 |
∴ So the LCM of the given numbers is 2 x 2 x 237 x 113 x 815 = 87306060
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 948,452,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,452,815) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(948,452,815) x common factors =1 x 4 = 4
LCM(948,452,815) = ( 948 × 452 × 815 ) / 4
LCM(948,452,815) = 349224240 / 4
LCM(948,452,815) = 87306060
Lets's calculate GCF of 21,12,699
3 | 21, 12, 699 |
7, 4, 233 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87306060/3
Therefore the LCM of Fractions 948/21,452/12,815/699 is 29102020
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 699
List of positive integer factors of 699 that divides 699 without a remainder.
1,3,233,699
Greatest Common Factor
We found the factors 21,12,699 . The biggest common factor number is the GCF number.
So the greatest common factor 21,12,699 is 3.
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 948/21, 452/12, 815/699?
Answer: LCM of Numerators as per given numbers 948/21, 452/12, 815/699 is
LCM of Numerators i.e. for 948,452,815 is 87306060
GCF of denominators i.e. for 21,12,699 is 3.
Thus, LCM of Fractions is 29102020.Finally, LCM of Fractions for 948/21, 452/12, 815/699 is 29102020.