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 284, 852, 305 i.e. 259860 smallest integer divisible by all numbers.
Least common multiple (LCM) of 284, 852, 305 is 259860.
LCM(284, 852, 305) = 259860
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 284, 852, 305 |
2 | 142, 426, 305 |
71 | 71, 213, 305 |
1, 3, 305 |
∴ So the LCM of the given numbers is 2 x 2 x 71 x 1 x 3 x 305 = 259860
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 284,852,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,852,305) = 1
common factors(in case of two or more numbers have common factors) = 284
GCF(284,852,305) x common factors =1 x 284 = 284
LCM(284,852,305) = ( 284 × 852 × 305 ) / 284
LCM(284,852,305) = 73800240 / 284
LCM(284,852,305) = 259860
∴ Least Common Multiple of 284,852,305 is 259860
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 284, 852, 305?
Answer: LCM of 284, 852, 305 is 259860.
2. What are the Factors of 259860?
Answer: Factors of 259860 are . There are integers that are factors of 259860
3. How to Find the LCM of 284, 852, 305 ?
Least Common Multiple of 284, 852, 305.
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(284, 852, 305) = 2 x 2 x 3 x 5 x 61 x 71 = 259860.