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 488, 732, 990 i.e. 241560 smallest integer divisible by all numbers.
Least common multiple (LCM) of 488, 732, 990 is 241560.
LCM(488, 732, 990) = 241560
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 488, 732, 990 |
2 | 244, 366, 495 |
3 | 122, 183, 495 |
61 | 122, 61, 165 |
2, 1, 165 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 61 x 2 x 1 x 165 = 241560
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 488,732,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(488,732,990) = 2
common factors(in case of two or more numbers have common factors) = 732
GCF(488,732,990) x common factors =2 x 732 = 1464
LCM(488,732,990) = ( 488 × 732 × 990 ) / 1464
LCM(488,732,990) = 353643840 / 1464
LCM(488,732,990) = 241560
∴ Least Common Multiple of 488,732,990 is 241560
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 488, 732, 990?
Answer: LCM of 488, 732, 990 is 241560.
2. What are the Factors of 241560?
Answer: Factors of 241560 are . There are integers that are factors of 241560
3. How to Find the LCM of 488, 732, 990 ?
Least Common Multiple of 488, 732, 990.
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(488, 732, 990) = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 61 = 241560.