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 592, 121, 814, 230 i.e. 8237680 smallest integer divisible by all numbers.
Least common multiple (LCM) of 592, 121, 814, 230 is 8237680.
LCM(592, 121, 814, 230) = 8237680
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 592, 121, 814, 230 |
11 | 296, 121, 407, 115 |
37 | 296, 11, 37, 115 |
8, 11, 1, 115 |
∴ So the LCM of the given numbers is 2 x 11 x 37 x 8 x 11 x 1 x 115 = 8237680
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 592,121,814,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(592,121,814,230) = 1
common factors(in case of two or more numbers have common factors) = 1628
GCF(592,121,814,230) x common factors =1 x 1628 = 1628
LCM(592,121,814,230) = ( 592 × 121 × 814 × 230 ) / 1628
LCM(592,121,814,230) = 13410943040 / 1628
LCM(592,121,814,230) = 8237680
∴ Least Common Multiple of 592,121,814,230 is 8237680
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 592, 121, 814, 230?
Answer: LCM of 592, 121, 814, 230 is 8237680.
2. What are the Factors of 8237680?
Answer: Factors of 8237680 are . There are integers that are factors of 8237680
3. How to Find the LCM of 592, 121, 814, 230 ?
Least Common Multiple of 592, 121, 814, 230.
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(592, 121, 814, 230) = 2 x 2 x 2 x 2 x 5 x 11 x 11 x 23 x 37 = 8237680.