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 39, 53, 487, 689 i.e. 1006629 smallest integer divisible by all numbers.
Least common multiple (LCM) of 39, 53, 487, 689 is 1006629.
LCM(39, 53, 487, 689) = 1006629
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
13 | 39, 53, 487, 689 |
53 | 3, 53, 487, 53 |
3, 1, 487, 1 |
∴ So the LCM of the given numbers is 13 x 53 x 3 x 1 x 487 x 1 = 1006629
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 39,53,487,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,53,487,689) = 1
common factors(in case of two or more numbers have common factors) = 689
GCF(39,53,487,689) x common factors =1 x 689 = 689
LCM(39,53,487,689) = ( 39 × 53 × 487 × 689 ) / 689
LCM(39,53,487,689) = 693567381 / 689
LCM(39,53,487,689) = 1006629
∴ Least Common Multiple of 39,53,487,689 is 1006629
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 39, 53, 487, 689?
Answer: LCM of 39, 53, 487, 689 is 1006629.
2. What are the Factors of 1006629?
Answer: Factors of 1006629 are . There are integers that are factors of 1006629
3. How to Find the LCM of 39, 53, 487, 689 ?
Least Common Multiple of 39, 53, 487, 689.
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(39, 53, 487, 689) = 3 x 13 x 53 x 487 = 1006629.