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 678, 294, 820 i.e. 13621020 smallest integer divisible by all numbers.
Least common multiple (LCM) of 678, 294, 820 is 13621020.
LCM(678, 294, 820) = 13621020
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 678, 294, 820 |
3 | 339, 147, 410 |
113, 49, 410 |
∴ So the LCM of the given numbers is 2 x 3 x 113 x 49 x 410 = 13621020
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 678,294,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,294,820) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(678,294,820) x common factors =2 x 6 = 12
LCM(678,294,820) = ( 678 × 294 × 820 ) / 12
LCM(678,294,820) = 163452240 / 12
LCM(678,294,820) = 13621020
∴ Least Common Multiple of 678,294,820 is 13621020
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 678, 294, 820?
Answer: LCM of 678, 294, 820 is 13621020.
2. What are the Factors of 13621020?
Answer: Factors of 13621020 are . There are integers that are factors of 13621020
3. How to Find the LCM of 678, 294, 820 ?
Least Common Multiple of 678, 294, 820.
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(678, 294, 820) = 2 x 2 x 3 x 5 x 7 x 7 x 41 x 113 = 13621020.