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, 456, 368, 210, 198 i.e. 24227280 smallest integer divisible by all numbers.
Least common multiple (LCM) of 198, 456, 368, 210, 198 is 24227280.
LCM(198, 456, 368, 210, 198) = 24227280
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 198, 456, 368, 210, 198 |
2 | 99, 228, 184, 105, 99 |
2 | 99, 114, 92, 105, 99 |
3 | 99, 57, 46, 105, 99 |
3 | 33, 19, 46, 35, 33 |
11 | 11, 19, 46, 35, 11 |
1, 19, 46, 35, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 11 x 1 x 19 x 46 x 35 x 1 = 24227280
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 198,456,368,210,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,456,368,210,198) = 2
common factors(in case of two or more numbers have common factors) = 28512
GCF(198,456,368,210,198) x common factors =2 x 28512 = 57024
LCM(198,456,368,210,198) = ( 198 × 456 × 368 × 210 × 198 ) / 57024
LCM(198,456,368,210,198) = 1381536414720 / 57024
LCM(198,456,368,210,198) = 24227280
∴ Least Common Multiple of 198,456,368,210,198 is 24227280
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 198, 456, 368, 210, 198?
Answer: LCM of 198, 456, 368, 210, 198 is 24227280.
2. What are the Factors of 24227280?
Answer: Factors of 24227280 are . There are integers that are factors of 24227280
3. How to Find the LCM of 198, 456, 368, 210, 198 ?
Least Common Multiple of 198, 456, 368, 210, 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(198, 456, 368, 210, 198) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 x 19 x 23 = 24227280.