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 21, 62, 31, 17 i.e. 22134 smallest integer divisible by all numbers.
Least common multiple (LCM) of 21, 62, 31, 17 is 22134.
LCM(21, 62, 31, 17) = 22134
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
31 | 21, 62, 31, 17 |
21, 2, 1, 17 |
∴ So the LCM of the given numbers is 31 x 21 x 2 x 1 x 17 = 22134
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 21,62,31,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,62,31,17) = 1
common factors(in case of two or more numbers have common factors) = 31
GCF(21,62,31,17) x common factors =1 x 31 = 31
LCM(21,62,31,17) = ( 21 × 62 × 31 × 17 ) / 31
LCM(21,62,31,17) = 686154 / 31
LCM(21,62,31,17) = 22134
∴ Least Common Multiple of 21,62,31,17 is 22134
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 21, 62, 31, 17?
Answer: LCM of 21, 62, 31, 17 is 22134.
2. What are the Factors of 22134?
Answer: Factors of 22134 are . There are integers that are factors of 22134
3. How to Find the LCM of 21, 62, 31, 17 ?
Least Common Multiple of 21, 62, 31, 17.
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(21, 62, 31, 17) = 2 x 3 x 7 x 17 x 31 = 22134.