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 493, 416, 468, 994 i.e. 917358624 smallest integer divisible by all numbers.
Least common multiple (LCM) of 493, 416, 468, 994 is 917358624.
LCM(493, 416, 468, 994) = 917358624
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 493, 416, 468, 994 |
2 | 493, 208, 234, 497 |
13 | 493, 104, 117, 497 |
493, 8, 9, 497 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 493 x 8 x 9 x 497 = 917358624
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 493,416,468,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,416,468,994) = 1
common factors(in case of two or more numbers have common factors) = 104
GCF(493,416,468,994) x common factors =1 x 104 = 104
LCM(493,416,468,994) = ( 493 × 416 × 468 × 994 ) / 104
LCM(493,416,468,994) = 95405296896 / 104
LCM(493,416,468,994) = 917358624
∴ Least Common Multiple of 493,416,468,994 is 917358624
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 493, 416, 468, 994?
Answer: LCM of 493, 416, 468, 994 is 917358624.
2. What are the Factors of 917358624?
Answer: Factors of 917358624 are . There are integers that are factors of 917358624
3. How to Find the LCM of 493, 416, 468, 994 ?
Least Common Multiple of 493, 416, 468, 994.
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(493, 416, 468, 994) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 13 x 17 x 29 x 71 = 917358624.