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 51, 14, 323 i.e. 13566 smallest integer divisible by all numbers.
Least common multiple (LCM) of 51, 14, 323 is 13566.
LCM(51, 14, 323) = 13566
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
17 | 51, 14, 323 |
3, 14, 19 |
∴ So the LCM of the given numbers is 17 x 3 x 14 x 19 = 13566
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 51,14,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,14,323) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(51,14,323) x common factors =1 x 17 = 17
LCM(51,14,323) = ( 51 × 14 × 323 ) / 17
LCM(51,14,323) = 230622 / 17
LCM(51,14,323) = 13566
∴ Least Common Multiple of 51,14,323 is 13566
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 51, 14, 323?
Answer: LCM of 51, 14, 323 is 13566.
2. What are the Factors of 13566?
Answer: Factors of 13566 are . There are integers that are factors of 13566
3. How to Find the LCM of 51, 14, 323 ?
Least Common Multiple of 51, 14, 323.
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(51, 14, 323) = 2 x 3 x 7 x 17 x 19 = 13566.