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 426, 984, 568 i.e. 69864 smallest integer divisible by all numbers.
Least common multiple (LCM) of 426, 984, 568 is 69864.
LCM(426, 984, 568) = 69864
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 426, 984, 568 |
2 | 213, 492, 284 |
2 | 213, 246, 142 |
3 | 213, 123, 71 |
71 | 71, 41, 71 |
1, 41, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 71 x 1 x 41 x 1 = 69864
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 426,984,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,984,568) = 2
common factors(in case of two or more numbers have common factors) = 1704
GCF(426,984,568) x common factors =2 x 1704 = 3408
LCM(426,984,568) = ( 426 × 984 × 568 ) / 3408
LCM(426,984,568) = 238096512 / 3408
LCM(426,984,568) = 69864
∴ Least Common Multiple of 426,984,568 is 69864
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 426, 984, 568?
Answer: LCM of 426, 984, 568 is 69864.
2. What are the Factors of 69864?
Answer: Factors of 69864 are . There are integers that are factors of 69864
3. How to Find the LCM of 426, 984, 568 ?
Least Common Multiple of 426, 984, 568.
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(426, 984, 568) = 2 x 2 x 2 x 3 x 41 x 71 = 69864.