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 258, 260, 430 i.e. 33540 smallest integer divisible by all numbers.
Least common multiple (LCM) of 258, 260, 430 is 33540.
LCM(258, 260, 430) = 33540
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 258, 260, 430 |
5 | 129, 130, 215 |
43 | 129, 26, 43 |
3, 26, 1 |
∴ So the LCM of the given numbers is 2 x 5 x 43 x 3 x 26 x 1 = 33540
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 258,260,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,260,430) = 2
common factors(in case of two or more numbers have common factors) = 430
GCF(258,260,430) x common factors =2 x 430 = 860
LCM(258,260,430) = ( 258 × 260 × 430 ) / 860
LCM(258,260,430) = 28844400 / 860
LCM(258,260,430) = 33540
∴ Least Common Multiple of 258,260,430 is 33540
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 258, 260, 430?
Answer: LCM of 258, 260, 430 is 33540.
2. What are the Factors of 33540?
Answer: Factors of 33540 are . There are integers that are factors of 33540
3. How to Find the LCM of 258, 260, 430 ?
Least Common Multiple of 258, 260, 430.
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(258, 260, 430) = 2 x 2 x 3 x 5 x 13 x 43 = 33540.