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 442, 104, 693, 416, 749 i.e. 524395872 smallest integer divisible by all numbers.
Least common multiple (LCM) of 442, 104, 693, 416, 749 is 524395872.
LCM(442, 104, 693, 416, 749) = 524395872
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 442, 104, 693, 416, 749 |
2 | 221, 52, 693, 208, 749 |
2 | 221, 26, 693, 104, 749 |
7 | 221, 13, 693, 52, 749 |
13 | 221, 13, 99, 52, 107 |
17, 1, 99, 4, 107 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 13 x 17 x 1 x 99 x 4 x 107 = 524395872
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 442,104,693,416,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,104,693,416,749) = 1
common factors(in case of two or more numbers have common factors) = 18928
GCF(442,104,693,416,749) x common factors =1 x 18928 = 18928
LCM(442,104,693,416,749) = ( 442 × 104 × 693 × 416 × 749 ) / 18928
LCM(442,104,693,416,749) = 9925765065216 / 18928
LCM(442,104,693,416,749) = 524395872
∴ Least Common Multiple of 442,104,693,416,749 is 524395872
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 442, 104, 693, 416, 749?
Answer: LCM of 442, 104, 693, 416, 749 is 524395872.
2. What are the Factors of 524395872?
Answer: Factors of 524395872 are . There are integers that are factors of 524395872
3. How to Find the LCM of 442, 104, 693, 416, 749 ?
Least Common Multiple of 442, 104, 693, 416, 749.
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(442, 104, 693, 416, 749) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11 x 13 x 17 x 107 = 524395872.