Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4/21, 3/40, 48/45, 21/811 quickly i.e. 336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4/21, 3/40, 48/45, 21/811 is 336.
LCM(4/21, 3/40, 48/45, 21/811) = 336
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4/21,3/40,48/45,21/811
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 4,3,48,21
Least Common Multiple of Numerators i.e. LCM of 4,3,48,21 is 336.
GCF of Denominators means GCF of 21,40,45,811 as per the given fractions.
GCF of 21,40,45,811 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4,3,48,21
2 | 4, 3, 48, 21 |
2 | 2, 3, 24, 21 |
3 | 1, 3, 12, 21 |
1, 1, 4, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 1 x 4 x 7 = 336
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 4,3,48,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4,3,48,21) = 1
common factors(in case of two or more numbers have common factors) = 36
GCF(4,3,48,21) x common factors =1 x 36 = 36
LCM(4,3,48,21) = ( 4 × 3 × 48 × 21 ) / 36
LCM(4,3,48,21) = 12096 / 36
LCM(4,3,48,21) = 336
Lets's calculate GCF of 21,40,45,811
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 336/1
Therefore the LCM of Fractions 4/21,3/40,48/45,21/811 is 336
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
Greatest Common Factor
We found the factors 21,40,45,811 . The biggest common factor number is the GCF number.
So the greatest common factor 21,40,45,811 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 4/21, 3/40, 48/45, 21/811?
Answer: LCM of Numerators as per given numbers 4/21, 3/40, 48/45, 21/811 is
LCM of Numerators i.e. for 4,3,48,21 is 336
GCF of denominators i.e. for 21,40,45,811 is 1.
Thus, LCM of Fractions is 336.Finally, LCM of Fractions for 4/21, 3/40, 48/45, 21/811 is 336.