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 524, 450, 325, 390, 198 i.e. 16859700 smallest integer divisible by all numbers.
Least common multiple (LCM) of 524, 450, 325, 390, 198 is 16859700.
LCM(524, 450, 325, 390, 198) = 16859700
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 524, 450, 325, 390, 198 |
3 | 262, 225, 325, 195, 99 |
3 | 262, 75, 325, 65, 33 |
5 | 262, 25, 325, 65, 11 |
5 | 262, 5, 13, 65, 11 |
13 | 262, 1, 13, 13, 11 |
262, 1, 1, 1, 11 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 5 x 13 x 262 x 1 x 1 x 1 x 11 = 16859700
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 524,450,325,390,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,450,325,390,198) = 1
common factors(in case of two or more numbers have common factors) = 351000
GCF(524,450,325,390,198) x common factors =1 x 351000 = 351000
LCM(524,450,325,390,198) = ( 524 × 450 × 325 × 390 × 198 ) / 351000
LCM(524,450,325,390,198) = 5917754700000 / 351000
LCM(524,450,325,390,198) = 16859700
∴ Least Common Multiple of 524,450,325,390,198 is 16859700
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 524, 450, 325, 390, 198?
Answer: LCM of 524, 450, 325, 390, 198 is 16859700.
2. What are the Factors of 16859700?
Answer: Factors of 16859700 are . There are integers that are factors of 16859700
3. How to Find the LCM of 524, 450, 325, 390, 198 ?
Least Common Multiple of 524, 450, 325, 390, 198.
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(524, 450, 325, 390, 198) = 2 x 2 x 3 x 3 x 5 x 5 x 11 x 13 x 131 = 16859700.