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 308, 918, 408 i.e. 282744 smallest integer divisible by all numbers.
Least common multiple (LCM) of 308, 918, 408 is 282744.
LCM(308, 918, 408) = 282744
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 308, 918, 408 |
2 | 154, 459, 204 |
3 | 77, 459, 102 |
17 | 77, 153, 34 |
77, 9, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 77 x 9 x 2 = 282744
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 308,918,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(308,918,408) = 2
common factors(in case of two or more numbers have common factors) = 204
GCF(308,918,408) x common factors =2 x 204 = 408
LCM(308,918,408) = ( 308 × 918 × 408 ) / 408
LCM(308,918,408) = 115359552 / 408
LCM(308,918,408) = 282744
∴ Least Common Multiple of 308,918,408 is 282744
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 308, 918, 408?
Answer: LCM of 308, 918, 408 is 282744.
2. What are the Factors of 282744?
Answer: Factors of 282744 are . There are integers that are factors of 282744
3. How to Find the LCM of 308, 918, 408 ?
Least Common Multiple of 308, 918, 408.
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(308, 918, 408) = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 11 x 17 = 282744.