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 596, 286, 606, 360, 364 i.e. 5423057640 smallest integer divisible by all numbers.
Least common multiple (LCM) of 596, 286, 606, 360, 364 is 5423057640.
LCM(596, 286, 606, 360, 364) = 5423057640
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 596, 286, 606, 360, 364 |
2 | 298, 143, 303, 180, 182 |
3 | 149, 143, 303, 90, 91 |
13 | 149, 143, 101, 30, 91 |
149, 11, 101, 30, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 149 x 11 x 101 x 30 x 7 = 5423057640
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 596,286,606,360,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,286,606,360,364) = 2
common factors(in case of two or more numbers have common factors) = 1248
GCF(596,286,606,360,364) x common factors =2 x 1248 = 2496
LCM(596,286,606,360,364) = ( 596 × 286 × 606 × 360 × 364 ) / 2496
LCM(596,286,606,360,364) = 13535951869440 / 2496
LCM(596,286,606,360,364) = 5423057640
∴ Least Common Multiple of 596,286,606,360,364 is 5423057640
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 596, 286, 606, 360, 364?
Answer: LCM of 596, 286, 606, 360, 364 is 5423057640.
2. What are the Factors of 5423057640?
Answer: Factors of 5423057640 are . There are integers that are factors of 5423057640
3. How to Find the LCM of 596, 286, 606, 360, 364 ?
Least Common Multiple of 596, 286, 606, 360, 364.
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(596, 286, 606, 360, 364) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 x 13 x 101 x 149 = 5423057640.