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 864, 394, 610, 417, 774 i.e. 310286630880 smallest integer divisible by all numbers.
Least common multiple (LCM) of 864, 394, 610, 417, 774 is 310286630880.
LCM(864, 394, 610, 417, 774) = 310286630880
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 864, 394, 610, 417, 774 |
3 | 432, 197, 305, 417, 387 |
3 | 144, 197, 305, 139, 129 |
48, 197, 305, 139, 43 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 48 x 197 x 305 x 139 x 43 = 310286630880
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 864,394,610,417,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,394,610,417,774) = 1
common factors(in case of two or more numbers have common factors) = 216
GCF(864,394,610,417,774) x common factors =1 x 216 = 216
LCM(864,394,610,417,774) = ( 864 × 394 × 610 × 417 × 774 ) / 216
LCM(864,394,610,417,774) = 67021912270080 / 216
LCM(864,394,610,417,774) = 310286630880
∴ Least Common Multiple of 864,394,610,417,774 is 310286630880
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 864, 394, 610, 417, 774?
Answer: LCM of 864, 394, 610, 417, 774 is 310286630880.
2. What are the Factors of 310286630880?
Answer: Factors of 310286630880 are . There are integers that are factors of 310286630880
3. How to Find the LCM of 864, 394, 610, 417, 774 ?
Least Common Multiple of 864, 394, 610, 417, 774.
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(864, 394, 610, 417, 774) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 43 x 61 x 139 x 197 = 310286630880.