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 243, 924, 499, 540, 810 i.e. 186735780 smallest integer divisible by all numbers.
Least common multiple (LCM) of 243, 924, 499, 540, 810 is 186735780.
LCM(243, 924, 499, 540, 810) = 186735780
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 243, 924, 499, 540, 810 |
2 | 243, 462, 499, 270, 405 |
3 | 243, 231, 499, 135, 405 |
3 | 81, 77, 499, 45, 135 |
3 | 27, 77, 499, 15, 45 |
3 | 9, 77, 499, 5, 15 |
5 | 3, 77, 499, 5, 5 |
3, 77, 499, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 3 x 5 x 3 x 77 x 499 x 1 x 1 = 186735780
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 243,924,499,540,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,924,499,540,810) = 1
common factors(in case of two or more numbers have common factors) = 262440
GCF(243,924,499,540,810) x common factors =1 x 262440 = 262440
LCM(243,924,499,540,810) = ( 243 × 924 × 499 × 540 × 810 ) / 262440
LCM(243,924,499,540,810) = 49006938103200 / 262440
LCM(243,924,499,540,810) = 186735780
∴ Least Common Multiple of 243,924,499,540,810 is 186735780
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 243, 924, 499, 540, 810?
Answer: LCM of 243, 924, 499, 540, 810 is 186735780.
2. What are the Factors of 186735780?
Answer: Factors of 186735780 are . There are integers that are factors of 186735780
3. How to Find the LCM of 243, 924, 499, 540, 810 ?
Least Common Multiple of 243, 924, 499, 540, 810.
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(243, 924, 499, 540, 810) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 7 x 11 x 499 = 186735780.