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 41, 72, 60, 459 i.e. 752760 smallest integer divisible by all numbers.
Least common multiple (LCM) of 41, 72, 60, 459 is 752760.
LCM(41, 72, 60, 459) = 752760
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 41, 72, 60, 459 |
2 | 41, 36, 30, 459 |
3 | 41, 18, 15, 459 |
3 | 41, 6, 5, 153 |
41, 2, 5, 51 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 41 x 2 x 5 x 51 = 752760
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 41,72,60,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,72,60,459) = 1
common factors(in case of two or more numbers have common factors) = 108
GCF(41,72,60,459) x common factors =1 x 108 = 108
LCM(41,72,60,459) = ( 41 × 72 × 60 × 459 ) / 108
LCM(41,72,60,459) = 81298080 / 108
LCM(41,72,60,459) = 752760
∴ Least Common Multiple of 41,72,60,459 is 752760
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 41, 72, 60, 459?
Answer: LCM of 41, 72, 60, 459 is 752760.
2. What are the Factors of 752760?
Answer: Factors of 752760 are . There are integers that are factors of 752760
3. How to Find the LCM of 41, 72, 60, 459 ?
Least Common Multiple of 41, 72, 60, 459.
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(41, 72, 60, 459) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 17 x 41 = 752760.