Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 272/92, 735/30, 240/566 quickly i.e. 99960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 272/92, 735/30, 240/566 is 99960.
LCM(272/92, 735/30, 240/566) = 99960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 272/92,735/30,240/566
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 272,735,240
Least Common Multiple of Numerators i.e. LCM of 272,735,240 is 199920.
GCF of Denominators means GCF of 92,30,566 as per the given fractions.
GCF of 92,30,566 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 272,735,240
2 | 272, 735, 240 |
2 | 136, 735, 120 |
2 | 68, 735, 60 |
2 | 34, 735, 30 |
3 | 17, 735, 15 |
5 | 17, 245, 5 |
17, 49, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 17 x 49 x 1 = 199920
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 272,735,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,735,240) = 1
common factors(in case of two or more numbers have common factors) = 240
GCF(272,735,240) x common factors =1 x 240 = 240
LCM(272,735,240) = ( 272 × 735 × 240 ) / 240
LCM(272,735,240) = 47980800 / 240
LCM(272,735,240) = 199920
Lets's calculate GCF of 92,30,566
2 | 92, 30, 566 |
46, 15, 283 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 199920/2
Therefore the LCM of Fractions 272/92,735/30,240/566 is 99960
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Greatest Common Factor
We found the factors 92,30,566 . The biggest common factor number is the GCF number.
So the greatest common factor 92,30,566 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 272/92, 735/30, 240/566?
Answer: LCM of Numerators as per given numbers 272/92, 735/30, 240/566 is
LCM of Numerators i.e. for 272,735,240 is 199920
GCF of denominators i.e. for 92,30,566 is 2.
Thus, LCM of Fractions is 99960.Finally, LCM of Fractions for 272/92, 735/30, 240/566 is 99960.