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 288, 792, 464 i.e. 91872 smallest integer divisible by all numbers.
Least common multiple (LCM) of 288, 792, 464 is 91872.
LCM(288, 792, 464) = 91872
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 288, 792, 464 |
2 | 144, 396, 232 |
2 | 72, 198, 116 |
2 | 36, 99, 58 |
3 | 18, 99, 29 |
3 | 6, 33, 29 |
2, 11, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 2 x 11 x 29 = 91872
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 288,792,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,792,464) = 8
common factors(in case of two or more numbers have common factors) = 144
GCF(288,792,464) x common factors =8 x 144 = 1152
LCM(288,792,464) = ( 288 × 792 × 464 ) / 1152
LCM(288,792,464) = 105836544 / 1152
LCM(288,792,464) = 91872
∴ Least Common Multiple of 288,792,464 is 91872
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 288, 792, 464?
Answer: LCM of 288, 792, 464 is 91872.
2. What are the Factors of 91872?
Answer: Factors of 91872 are . There are integers that are factors of 91872
3. How to Find the LCM of 288, 792, 464 ?
Least Common Multiple of 288, 792, 464.
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(288, 792, 464) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 29 = 91872.