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 245, 414, 230, 865 i.e. 17547390 smallest integer divisible by all numbers.
Least common multiple (LCM) of 245, 414, 230, 865 is 17547390.
LCM(245, 414, 230, 865) = 17547390
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 245, 414, 230, 865 |
5 | 245, 207, 115, 865 |
23 | 49, 207, 23, 173 |
49, 9, 1, 173 |
∴ So the LCM of the given numbers is 2 x 5 x 23 x 49 x 9 x 1 x 173 = 17547390
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 245,414,230,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,414,230,865) = 1
common factors(in case of two or more numbers have common factors) = 1150
GCF(245,414,230,865) x common factors =1 x 1150 = 1150
LCM(245,414,230,865) = ( 245 × 414 × 230 × 865 ) / 1150
LCM(245,414,230,865) = 20179498500 / 1150
LCM(245,414,230,865) = 17547390
∴ Least Common Multiple of 245,414,230,865 is 17547390
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 245, 414, 230, 865?
Answer: LCM of 245, 414, 230, 865 is 17547390.
2. What are the Factors of 17547390?
Answer: Factors of 17547390 are . There are integers that are factors of 17547390
3. How to Find the LCM of 245, 414, 230, 865 ?
Least Common Multiple of 245, 414, 230, 865.
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(245, 414, 230, 865) = 2 x 3 x 3 x 5 x 7 x 7 x 23 x 173 = 17547390.