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 260, 465, 533, 348 i.e. 28750020 smallest integer divisible by all numbers.
Least common multiple (LCM) of 260, 465, 533, 348 is 28750020.
LCM(260, 465, 533, 348) = 28750020
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 260, 465, 533, 348 |
2 | 130, 465, 533, 174 |
3 | 65, 465, 533, 87 |
5 | 65, 155, 533, 29 |
13 | 13, 31, 533, 29 |
1, 31, 41, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 13 x 1 x 31 x 41 x 29 = 28750020
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 260,465,533,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,465,533,348) = 1
common factors(in case of two or more numbers have common factors) = 780
GCF(260,465,533,348) x common factors =1 x 780 = 780
LCM(260,465,533,348) = ( 260 × 465 × 533 × 348 ) / 780
LCM(260,465,533,348) = 22425015600 / 780
LCM(260,465,533,348) = 28750020
∴ Least Common Multiple of 260,465,533,348 is 28750020
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 260, 465, 533, 348?
Answer: LCM of 260, 465, 533, 348 is 28750020.
2. What are the Factors of 28750020?
Answer: Factors of 28750020 are . There are integers that are factors of 28750020
3. How to Find the LCM of 260, 465, 533, 348 ?
Least Common Multiple of 260, 465, 533, 348.
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(260, 465, 533, 348) = 2 x 2 x 3 x 5 x 13 x 29 x 31 x 41 = 28750020.