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 852, 282, 846 i.e. 120132 smallest integer divisible by all numbers.
Least common multiple (LCM) of 852, 282, 846 is 120132.
LCM(852, 282, 846) = 120132
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 852, 282, 846 |
3 | 426, 141, 423 |
47 | 142, 47, 141 |
142, 1, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 47 x 142 x 1 x 3 = 120132
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 852,282,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(852,282,846) = 6
common factors(in case of two or more numbers have common factors) = 282
GCF(852,282,846) x common factors =6 x 282 = 1692
LCM(852,282,846) = ( 852 × 282 × 846 ) / 1692
LCM(852,282,846) = 203263344 / 1692
LCM(852,282,846) = 120132
∴ Least Common Multiple of 852,282,846 is 120132
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 852, 282, 846?
Answer: LCM of 852, 282, 846 is 120132.
2. What are the Factors of 120132?
Answer: Factors of 120132 are . There are integers that are factors of 120132
3. How to Find the LCM of 852, 282, 846 ?
Least Common Multiple of 852, 282, 846.
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(852, 282, 846) = 2 x 2 x 3 x 3 x 47 x 71 = 120132.