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 99, 34, 68, 93, 12 i.e. 208692 smallest integer divisible by all numbers.
Least common multiple (LCM) of 99, 34, 68, 93, 12 is 208692.
LCM(99, 34, 68, 93, 12) = 208692
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 99, 34, 68, 93, 12 |
2 | 99, 17, 34, 93, 6 |
3 | 99, 17, 17, 93, 3 |
17 | 33, 17, 17, 31, 1 |
33, 1, 1, 31, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 33 x 1 x 1 x 31 x 1 = 208692
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 99,34,68,93,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,34,68,93,12) = 1
common factors(in case of two or more numbers have common factors) = 1224
GCF(99,34,68,93,12) x common factors =1 x 1224 = 1224
LCM(99,34,68,93,12) = ( 99 × 34 × 68 × 93 × 12 ) / 1224
LCM(99,34,68,93,12) = 255439008 / 1224
LCM(99,34,68,93,12) = 208692
∴ Least Common Multiple of 99,34,68,93,12 is 208692
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 99, 34, 68, 93, 12?
Answer: LCM of 99, 34, 68, 93, 12 is 208692.
2. What are the Factors of 208692?
Answer: Factors of 208692 are . There are integers that are factors of 208692
3. How to Find the LCM of 99, 34, 68, 93, 12 ?
Least Common Multiple of 99, 34, 68, 93, 12.
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(99, 34, 68, 93, 12) = 2 x 2 x 3 x 3 x 11 x 17 x 31 = 208692.