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 799, 314, 221, 468, 517 i.e. 645780564 smallest integer divisible by all numbers.
Least common multiple (LCM) of 799, 314, 221, 468, 517 is 645780564.
LCM(799, 314, 221, 468, 517) = 645780564
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 799, 314, 221, 468, 517 |
13 | 799, 157, 221, 234, 517 |
17 | 799, 157, 17, 18, 517 |
47 | 47, 157, 1, 18, 517 |
1, 157, 1, 18, 11 |
∴ So the LCM of the given numbers is 2 x 13 x 17 x 47 x 1 x 157 x 1 x 18 x 11 = 645780564
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 799,314,221,468,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(799,314,221,468,517) = 1
common factors(in case of two or more numbers have common factors) = 20774
GCF(799,314,221,468,517) x common factors =1 x 20774 = 20774
LCM(799,314,221,468,517) = ( 799 × 314 × 221 × 468 × 517 ) / 20774
LCM(799,314,221,468,517) = 13415445436536 / 20774
LCM(799,314,221,468,517) = 645780564
∴ Least Common Multiple of 799,314,221,468,517 is 645780564
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 799, 314, 221, 468, 517?
Answer: LCM of 799, 314, 221, 468, 517 is 645780564.
2. What are the Factors of 645780564?
Answer: Factors of 645780564 are . There are integers that are factors of 645780564
3. How to Find the LCM of 799, 314, 221, 468, 517 ?
Least Common Multiple of 799, 314, 221, 468, 517.
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(799, 314, 221, 468, 517) = 2 x 2 x 3 x 3 x 11 x 13 x 17 x 47 x 157 = 645780564.