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, 610, 936 i.e. 285480 smallest integer divisible by all numbers.
Least common multiple (LCM) of 488, 610, 936 is 285480.
LCM(488, 610, 936) = 285480
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 488, 610, 936 |
2 | 244, 305, 468 |
2 | 122, 305, 234 |
61 | 61, 305, 117 |
1, 5, 117 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 61 x 1 x 5 x 117 = 285480
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 488,610,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(488,610,936) = 2
common factors(in case of two or more numbers have common factors) = 488
GCF(488,610,936) x common factors =2 x 488 = 976
LCM(488,610,936) = ( 488 × 610 × 936 ) / 976
LCM(488,610,936) = 278628480 / 976
LCM(488,610,936) = 285480
∴ Least Common Multiple of 488,610,936 is 285480
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 488, 610, 936?
Answer: LCM of 488, 610, 936 is 285480.
2. What are the Factors of 285480?
Answer: Factors of 285480 are . There are integers that are factors of 285480
3. How to Find the LCM of 488, 610, 936 ?
Least Common Multiple of 488, 610, 936.
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, 610, 936) = 2 x 2 x 2 x 3 x 3 x 5 x 13 x 61 = 285480.