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 861, 792, 369 i.e. 227304 smallest integer divisible by all numbers.
Least common multiple (LCM) of 861, 792, 369 is 227304.
LCM(861, 792, 369) = 227304
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 861, 792, 369 |
3 | 287, 264, 123 |
41 | 287, 88, 41 |
7, 88, 1 |
∴ So the LCM of the given numbers is 3 x 3 x 41 x 7 x 88 x 1 = 227304
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 861,792,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,792,369) = 3
common factors(in case of two or more numbers have common factors) = 369
GCF(861,792,369) x common factors =3 x 369 = 1107
LCM(861,792,369) = ( 861 × 792 × 369 ) / 1107
LCM(861,792,369) = 251625528 / 1107
LCM(861,792,369) = 227304
∴ Least Common Multiple of 861,792,369 is 227304
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 861, 792, 369?
Answer: LCM of 861, 792, 369 is 227304.
2. What are the Factors of 227304?
Answer: Factors of 227304 are . There are integers that are factors of 227304
3. How to Find the LCM of 861, 792, 369 ?
Least Common Multiple of 861, 792, 369.
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(861, 792, 369) = 2 x 2 x 2 x 3 x 3 x 7 x 11 x 41 = 227304.