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 198, 153, 578 i.e. 57222 smallest integer divisible by all numbers.
Least common multiple (LCM) of 198, 153, 578 is 57222.
LCM(198, 153, 578) = 57222
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 198, 153, 578 |
3 | 99, 153, 289 |
3 | 33, 51, 289 |
17 | 11, 17, 289 |
11, 1, 17 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 17 x 11 x 1 x 17 = 57222
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 198,153,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,153,578) = 1
common factors(in case of two or more numbers have common factors) = 306
GCF(198,153,578) x common factors =1 x 306 = 306
LCM(198,153,578) = ( 198 × 153 × 578 ) / 306
LCM(198,153,578) = 17509932 / 306
LCM(198,153,578) = 57222
∴ Least Common Multiple of 198,153,578 is 57222
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 198, 153, 578?
Answer: LCM of 198, 153, 578 is 57222.
2. What are the Factors of 57222?
Answer: Factors of 57222 are . There are integers that are factors of 57222
3. How to Find the LCM of 198, 153, 578 ?
Least Common Multiple of 198, 153, 578.
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(198, 153, 578) = 2 x 3 x 3 x 11 x 17 x 17 = 57222.