Given numbers are 540,442,514

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 540,442,514 is 30670380.

Find LCM of 540,442,514 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 270 x 221 x 257 = 30670380

Therefore, the lowest common multiple of 540,442,514 is 30670380.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

540 x 442 x 514 = 122681520

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

442 : 1, 2, 13, 17, 26, 34, 221, 442

514 : 1, 2, 257, 514

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,442,514, is 2.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

442:2x 13x 17

514:2x 257

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 122681520/(2x2)

LCM = 122681520/4

LCM = 30670380

Thus, we can understand that the LCM of 540,442,514 is 30670380.

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

• LCM of 117, 558, 819
• LCM of 677, 346, 887
• LCM of 625, 691, 353
• LCM of 314, 979, 948
• LCM of 272, 205, 429

1. What is the LCM of 540, 442, 514?

Answer: LCM of 540, 442, 514 is 30670380.

2. How to calculate the LCM of 540, 442, 514?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 540, 442, 514.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.