Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 728/64, 145/92, 236/116 quickly i.e. 1557010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 728/64, 145/92, 236/116 is 1557010.
LCM(728/64, 145/92, 236/116) = 1557010
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 728/64,145/92,236/116
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 728,145,236
Least Common Multiple of Numerators i.e. LCM of 728,145,236 is 6228040.
GCF of Denominators means GCF of 64,92,116 as per the given fractions.
GCF of 64,92,116 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 728,145,236
2 | 728, 145, 236 |
2 | 364, 145, 118 |
182, 145, 59 |
∴ So the LCM of the given numbers is 2 x 2 x 182 x 145 x 59 = 6228040
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 728,145,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,145,236) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(728,145,236) x common factors =1 x 4 = 4
LCM(728,145,236) = ( 728 × 145 × 236 ) / 4
LCM(728,145,236) = 24912160 / 4
LCM(728,145,236) = 6228040
Lets's calculate GCF of 64,92,116
2 | 64, 92, 116 |
2 | 32, 46, 58 |
16, 23, 29 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6228040/4
Therefore the LCM of Fractions 728/64,145/92,236/116 is 1557010
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Greatest Common Factor
We found the factors 64,92,116 . The biggest common factor number is the GCF number.
So the greatest common factor 64,92,116 is 4.
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 728/64, 145/92, 236/116?
Answer: LCM of Numerators as per given numbers 728/64, 145/92, 236/116 is
LCM of Numerators i.e. for 728,145,236 is 6228040
GCF of denominators i.e. for 64,92,116 is 4.
Thus, LCM of Fractions is 1557010.Finally, LCM of Fractions for 728/64, 145/92, 236/116 is 1557010.