Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 21/16, 597/62, 336/954 quickly i.e. 33432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 21/16, 597/62, 336/954 is 33432.
LCM(21/16, 597/62, 336/954) = 33432
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 21/16,597/62,336/954
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 21,597,336
Least Common Multiple of Numerators i.e. LCM of 21,597,336 is 66864.
GCF of Denominators means GCF of 16,62,954 as per the given fractions.
GCF of 16,62,954 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 21,597,336
3 | 21, 597, 336 |
7 | 7, 199, 112 |
1, 199, 16 |
∴ So the LCM of the given numbers is 3 x 7 x 1 x 199 x 16 = 66864
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 21,597,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,597,336) = 3
common factors(in case of two or more numbers have common factors) = 21
GCF(21,597,336) x common factors =3 x 21 = 63
LCM(21,597,336) = ( 21 × 597 × 336 ) / 63
LCM(21,597,336) = 4212432 / 63
LCM(21,597,336) = 66864
Lets's calculate GCF of 16,62,954
2 | 16, 62, 954 |
8, 31, 477 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66864/2
Therefore the LCM of Fractions 21/16,597/62,336/954 is 33432
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Greatest Common Factor
We found the factors 16,62,954 . The biggest common factor number is the GCF number.
So the greatest common factor 16,62,954 is 2.
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 21/16, 597/62, 336/954?
Answer: LCM of Numerators as per given numbers 21/16, 597/62, 336/954 is
LCM of Numerators i.e. for 21,597,336 is 66864
GCF of denominators i.e. for 16,62,954 is 2.
Thus, LCM of Fractions is 33432.Finally, LCM of Fractions for 21/16, 597/62, 336/954 is 33432.