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 600, 500, 945, 539, 491 i.e. 7145523000 smallest integer divisible by all numbers.
Least common multiple (LCM) of 600, 500, 945, 539, 491 is 7145523000.
LCM(600, 500, 945, 539, 491) = 7145523000
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 600, 500, 945, 539, 491 |
2 | 300, 250, 945, 539, 491 |
3 | 150, 125, 945, 539, 491 |
5 | 50, 125, 315, 539, 491 |
5 | 10, 25, 63, 539, 491 |
7 | 2, 5, 63, 539, 491 |
2, 5, 9, 77, 491 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 5 x 7 x 2 x 5 x 9 x 77 x 491 = 7145523000
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 600,500,945,539,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(600,500,945,539,491) = 1
common factors(in case of two or more numbers have common factors) = 10500
GCF(600,500,945,539,491) x common factors =1 x 10500 = 10500
LCM(600,500,945,539,491) = ( 600 × 500 × 945 × 539 × 491 ) / 10500
LCM(600,500,945,539,491) = 75027991500000 / 10500
LCM(600,500,945,539,491) = 7145523000
∴ Least Common Multiple of 600,500,945,539,491 is 7145523000
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 600, 500, 945, 539, 491?
Answer: LCM of 600, 500, 945, 539, 491 is 7145523000.
2. What are the Factors of 7145523000?
Answer: Factors of 7145523000 are . There are integers that are factors of 7145523000
3. How to Find the LCM of 600, 500, 945, 539, 491 ?
Least Common Multiple of 600, 500, 945, 539, 491.
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(600, 500, 945, 539, 491) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5 x 7 x 7 x 11 x 491 = 7145523000.