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 352, 513, 396 i.e. 180576 smallest integer divisible by all numbers.
Least common multiple (LCM) of 352, 513, 396 is 180576.
LCM(352, 513, 396) = 180576
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 352, 513, 396 |
2 | 176, 513, 198 |
3 | 88, 513, 99 |
3 | 88, 171, 33 |
11 | 88, 57, 11 |
8, 57, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 11 x 8 x 57 x 1 = 180576
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 352,513,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(352,513,396) = 1
common factors(in case of two or more numbers have common factors) = 396
GCF(352,513,396) x common factors =1 x 396 = 396
LCM(352,513,396) = ( 352 × 513 × 396 ) / 396
LCM(352,513,396) = 71508096 / 396
LCM(352,513,396) = 180576
∴ Least Common Multiple of 352,513,396 is 180576
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 352, 513, 396?
Answer: LCM of 352, 513, 396 is 180576.
2. What are the Factors of 180576?
Answer: Factors of 180576 are . There are integers that are factors of 180576
3. How to Find the LCM of 352, 513, 396 ?
Least Common Multiple of 352, 513, 396.
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(352, 513, 396) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 x 19 = 180576.