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 434, 687, 576 i.e. 28623168 smallest integer divisible by all numbers.
Least common multiple (LCM) of 434, 687, 576 is 28623168.
LCM(434, 687, 576) = 28623168
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 434, 687, 576 |
3 | 217, 687, 288 |
217, 229, 96 |
∴ So the LCM of the given numbers is 2 x 3 x 217 x 229 x 96 = 28623168
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 434,687,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,687,576) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(434,687,576) x common factors =1 x 6 = 6
LCM(434,687,576) = ( 434 × 687 × 576 ) / 6
LCM(434,687,576) = 171739008 / 6
LCM(434,687,576) = 28623168
∴ Least Common Multiple of 434,687,576 is 28623168
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 434, 687, 576?
Answer: LCM of 434, 687, 576 is 28623168.
2. What are the Factors of 28623168?
Answer: Factors of 28623168 are . There are integers that are factors of 28623168
3. How to Find the LCM of 434, 687, 576 ?
Least Common Multiple of 434, 687, 576.
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(434, 687, 576) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 31 x 229 = 28623168.