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 78, 72, 47, 684 i.e. 835848 smallest integer divisible by all numbers.
Least common multiple (LCM) of 78, 72, 47, 684 is 835848.
LCM(78, 72, 47, 684) = 835848
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 78, 72, 47, 684 |
2 | 39, 36, 47, 342 |
3 | 39, 18, 47, 171 |
3 | 13, 6, 47, 57 |
13, 2, 47, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 13 x 2 x 47 x 19 = 835848
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 78,72,47,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,72,47,684) = 1
common factors(in case of two or more numbers have common factors) = 216
GCF(78,72,47,684) x common factors =1 x 216 = 216
LCM(78,72,47,684) = ( 78 × 72 × 47 × 684 ) / 216
LCM(78,72,47,684) = 180543168 / 216
LCM(78,72,47,684) = 835848
∴ Least Common Multiple of 78,72,47,684 is 835848
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 78, 72, 47, 684?
Answer: LCM of 78, 72, 47, 684 is 835848.
2. What are the Factors of 835848?
Answer: Factors of 835848 are . There are integers that are factors of 835848
3. How to Find the LCM of 78, 72, 47, 684 ?
Least Common Multiple of 78, 72, 47, 684.
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(78, 72, 47, 684) = 2 x 2 x 2 x 3 x 3 x 13 x 19 x 47 = 835848.