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 506, 7425, 735 i.e. 16735950 smallest integer divisible by all numbers.
Least common multiple (LCM) of 506, 7425, 735 is 16735950.
LCM(506, 7425, 735) = 16735950
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 506, 7425, 735 |
5 | 506, 2475, 245 |
11 | 506, 495, 49 |
46, 45, 49 |
∴ So the LCM of the given numbers is 3 x 5 x 11 x 46 x 45 x 49 = 16735950
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 506,7425,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,7425,735) = 1
common factors(in case of two or more numbers have common factors) = 165
GCF(506,7425,735) x common factors =1 x 165 = 165
LCM(506,7425,735) = ( 506 × 7425 × 735 ) / 165
LCM(506,7425,735) = 2761431750 / 165
LCM(506,7425,735) = 16735950
∴ Least Common Multiple of 506,7425,735 is 16735950
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 506, 7425, 735?
Answer: LCM of 506, 7425, 735 is 16735950.
2. What are the Factors of 16735950?
Answer: Factors of 16735950 are . There are integers that are factors of 16735950
3. How to Find the LCM of 506, 7425, 735 ?
Least Common Multiple of 506, 7425, 735.
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(506, 7425, 735) = 2 x 3 x 3 x 3 x 5 x 5 x 7 x 7 x 11 x 23 = 16735950.