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 42, 784, 322 i.e. 54096 smallest integer divisible by all numbers.
Least common multiple (LCM) of 42, 784, 322 is 54096.
LCM(42, 784, 322) = 54096
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 42, 784, 322 |
7 | 21, 392, 161 |
3, 56, 23 |
∴ So the LCM of the given numbers is 2 x 7 x 3 x 56 x 23 = 54096
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 42,784,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,784,322) = 14
common factors(in case of two or more numbers have common factors) = 14
GCF(42,784,322) x common factors =14 x 14 = 196
LCM(42,784,322) = ( 42 × 784 × 322 ) / 196
LCM(42,784,322) = 10602816 / 196
LCM(42,784,322) = 54096
∴ Least Common Multiple of 42,784,322 is 54096
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 42, 784, 322?
Answer: LCM of 42, 784, 322 is 54096.
2. What are the Factors of 54096?
Answer: Factors of 54096 are . There are integers that are factors of 54096
3. How to Find the LCM of 42, 784, 322 ?
Least Common Multiple of 42, 784, 322.
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(42, 784, 322) = 2 x 2 x 2 x 2 x 3 x 7 x 7 x 23 = 54096.