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 504, 546, 432 i.e. 39312 smallest integer divisible by all numbers.
Least common multiple (LCM) of 504, 546, 432 is 39312.
LCM(504, 546, 432) = 39312
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 504, 546, 432 |
2 | 252, 273, 216 |
2 | 126, 273, 108 |
3 | 63, 273, 54 |
3 | 21, 91, 18 |
7 | 7, 91, 6 |
1, 13, 6 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 7 x 1 x 13 x 6 = 39312
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 504,546,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,546,432) = 6
common factors(in case of two or more numbers have common factors) = 504
GCF(504,546,432) x common factors =6 x 504 = 3024
LCM(504,546,432) = ( 504 × 546 × 432 ) / 3024
LCM(504,546,432) = 118879488 / 3024
LCM(504,546,432) = 39312
∴ Least Common Multiple of 504,546,432 is 39312
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 504, 546, 432?
Answer: LCM of 504, 546, 432 is 39312.
2. What are the Factors of 39312?
Answer: Factors of 39312 are . There are integers that are factors of 39312
3. How to Find the LCM of 504, 546, 432 ?
Least Common Multiple of 504, 546, 432.
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(504, 546, 432) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 13 = 39312.