Least Common Multiple of 258, 289, 510

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, 289, 510 i.e. 372810 smallest integer divisible by all numbers.

Least common multiple (LCM) of 258, 289, 510 is 372810.

LCM(258, 289, 510) = 372810

LCM of 258, 289, 510

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 258,289,510

Least Common Multiple (LCM) of 258,289,510 is 372810

2 258, 289, 510
3 129, 289, 255
17 43, 289, 85
43, 17, 5

∴ So the LCM of the given numbers is 2 x 3 x 17 x 43 x 17 x 5 = 372810

Least Common Multiple of 258,289,510 with GCF Formula

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 258,289,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,289,510) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(258,289,510) x common factors =1 x 102 = 102

LCM(258,289,510) = ( 258 × 289 × 510 ) / 102

LCM(258,289,510) = 38026620 / 102

LCM(258,289,510) = 372810

∴ Least Common Multiple of 258,289,510 is 372810

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 258, 289, 510

1. What is the LCM of 258, 289, 510?

Answer: LCM of 258, 289, 510 is 372810.

2. What are the Factors of 372810?

Answer: Factors of 372810 are . There are integers that are factors of 372810

3. How to Find the LCM of 258, 289, 510 ?

Least Common Multiple of 258, 289, 510.

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, 289, 510) = 2 x 3 x 5 x 17 x 17 x 43 = 372810.