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 17, 68, 70, 24 i.e. 14280 smallest integer divisible by all numbers.
Least common multiple (LCM) of 17, 68, 70, 24 is 14280.
LCM(17, 68, 70, 24) = 14280
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 17, 68, 70, 24 |
2 | 17, 34, 35, 12 |
17 | 17, 17, 35, 6 |
1, 1, 35, 6 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 1 x 1 x 35 x 6 = 14280
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 17,68,70,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,68,70,24) = 1
common factors(in case of two or more numbers have common factors) = 136
GCF(17,68,70,24) x common factors =1 x 136 = 136
LCM(17,68,70,24) = ( 17 × 68 × 70 × 24 ) / 136
LCM(17,68,70,24) = 1942080 / 136
LCM(17,68,70,24) = 14280
∴ Least Common Multiple of 17,68,70,24 is 14280
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 17, 68, 70, 24?
Answer: LCM of 17, 68, 70, 24 is 14280.
2. What are the Factors of 14280?
Answer: Factors of 14280 are . There are integers that are factors of 14280
3. How to Find the LCM of 17, 68, 70, 24 ?
Least Common Multiple of 17, 68, 70, 24.
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(17, 68, 70, 24) = 2 x 2 x 2 x 3 x 5 x 7 x 17 = 14280.