Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 728, 1352 i.e. 9464 smallest integer divisible by all numbers.
Least common multiple (LCM) of 728, 1352 is 9464.
LCM(728, 1352) = 9464
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 728, 1352 |
2 | 364, 676 |
2 | 182, 338 |
13 | 91, 169 |
7, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 7 x 13 = 9464
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 728,1352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,1352) = 104
common factors(in case of two or more numbers have common factors) = 1
GCF(728,1352) x common factors =104 x 1 = 104
LCM(728,1352) = ( 728 × 1352 ) / 104
LCM(728,1352) = 984256 / 104
LCM(728,1352) = 9464
∴ Least Common Multiple of 728,1352 is 9464
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 728, 1352?
Answer: LCM of 728, 1352 is 9464.
2. What are the Factors of 9464?
Answer: Factors of 9464 are . There are integers that are factors of 9464
3. How to Find the LCM of 728, 1352 ?
Least Common Multiple of 728, 1352.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(728, 1352) = 2 x 2 x 2 x 7 x 13 x 13 = 9464.