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 581, 693, 378 i.e. 345114 smallest integer divisible by all numbers.
Least common multiple (LCM) of 581, 693, 378 is 345114.
LCM(581, 693, 378) = 345114
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 581, 693, 378 |
3 | 581, 231, 126 |
7 | 581, 77, 42 |
83, 11, 6 |
∴ So the LCM of the given numbers is 3 x 3 x 7 x 83 x 11 x 6 = 345114
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 581,693,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,693,378) = 7
common factors(in case of two or more numbers have common factors) = 63
GCF(581,693,378) x common factors =7 x 63 = 441
LCM(581,693,378) = ( 581 × 693 × 378 ) / 441
LCM(581,693,378) = 152195274 / 441
LCM(581,693,378) = 345114
∴ Least Common Multiple of 581,693,378 is 345114
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 581, 693, 378?
Answer: LCM of 581, 693, 378 is 345114.
2. What are the Factors of 345114?
Answer: Factors of 345114 are . There are integers that are factors of 345114
3. How to Find the LCM of 581, 693, 378 ?
Least Common Multiple of 581, 693, 378.
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(581, 693, 378) = 2 x 3 x 3 x 3 x 7 x 11 x 83 = 345114.