Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/10, 216/28, 990/746 quickly i.e. 5940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/10, 216/28, 990/746 is 5940.
LCM(66/10, 216/28, 990/746) = 5940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/10,216/28,990/746
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 66,216,990
Least Common Multiple of Numerators i.e. LCM of 66,216,990 is 11880.
GCF of Denominators means GCF of 10,28,746 as per the given fractions.
GCF of 10,28,746 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,216,990
2 | 66, 216, 990 |
3 | 33, 108, 495 |
3 | 11, 36, 165 |
11 | 11, 12, 55 |
1, 12, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 1 x 12 x 5 = 11880
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 66,216,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,216,990) = 6
common factors(in case of two or more numbers have common factors) = 198
GCF(66,216,990) x common factors =6 x 198 = 1188
LCM(66,216,990) = ( 66 × 216 × 990 ) / 1188
LCM(66,216,990) = 14113440 / 1188
LCM(66,216,990) = 11880
Lets's calculate GCF of 10,28,746
2 | 10, 28, 746 |
5, 14, 373 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11880/2
Therefore the LCM of Fractions 66/10,216/28,990/746 is 5940
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 746
List of positive integer factors of 746 that divides 746 without a remainder.
1,2,373,746
Greatest Common Factor
We found the factors 10,28,746 . The biggest common factor number is the GCF number.
So the greatest common factor 10,28,746 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 66/10, 216/28, 990/746?
Answer: LCM of Numerators as per given numbers 66/10, 216/28, 990/746 is
LCM of Numerators i.e. for 66,216,990 is 11880
GCF of denominators i.e. for 10,28,746 is 2.
Thus, LCM of Fractions is 5940.Finally, LCM of Fractions for 66/10, 216/28, 990/746 is 5940.