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, 924, 812, 514, 636 i.e. 364988316 smallest integer divisible by all numbers.
Least common multiple (LCM) of 308, 924, 812, 514, 636 is 364988316.
LCM(308, 924, 812, 514, 636) = 364988316
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 308, 924, 812, 514, 636 |
2 | 154, 462, 406, 257, 318 |
3 | 77, 231, 203, 257, 159 |
7 | 77, 77, 203, 257, 53 |
11 | 11, 11, 29, 257, 53 |
1, 1, 29, 257, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 11 x 1 x 1 x 29 x 257 x 53 = 364988316
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 308,924,812,514,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(308,924,812,514,636) = 2
common factors(in case of two or more numbers have common factors) = 103488
GCF(308,924,812,514,636) x common factors =2 x 103488 = 206976
LCM(308,924,812,514,636) = ( 308 × 924 × 812 × 514 × 636 ) / 206976
LCM(308,924,812,514,636) = 75543821692416 / 206976
LCM(308,924,812,514,636) = 364988316
∴ Least Common Multiple of 308,924,812,514,636 is 364988316
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 308, 924, 812, 514, 636?
Answer: LCM of 308, 924, 812, 514, 636 is 364988316.
2. What are the Factors of 364988316?
Answer: Factors of 364988316 are . There are integers that are factors of 364988316
3. How to Find the LCM of 308, 924, 812, 514, 636 ?
Least Common Multiple of 308, 924, 812, 514, 636.
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, 924, 812, 514, 636) = 2 x 2 x 3 x 7 x 11 x 29 x 53 x 257 = 364988316.