Given numbers are 540,230,740,817,323

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

The LCM of 540,230,740,817,323 is 6382551060.

Find LCM of 540,230,740,817,323 with Prime Factorization

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

2 x 2 x 5 x 19 x 27 x 23 x 37 x 43 x 17 = 6382551060

Therefore, the lowest common multiple of 540,230,740,817,323 is 6382551060.

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 230 x 740 x 817 x 323 = 24253694028000

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

230 : 1, 2, 5, 10, 23, 46, 115, 230

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

817 : 1, 19, 43, 817

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,230,740,817,323, is 1.

Now, the common factors can be found like this.

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

230:2x 5x 23

740:2x 2x 5x 37

817:19x 43

323:17x 19

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

2x 2x 2x 5x 5x 19 = 3800

Therefore, the value for common factors is 3800.

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 = 24253694028000/(1x3800)

LCM = 24253694028000/3800

LCM = 6382551060

Thus, we can understand that the LCM of 540,230,740,817,323 is 6382551060.

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

• LCM of 804, 771, 182, 481, 469
• LCM of 286, 276, 960, 371, 594
• LCM of 181, 332, 390, 892, 276
• LCM of 189, 838, 695, 296, 957
• LCM of 378, 202, 877, 612, 238

1. What is the LCM of 540, 230, 740, 817, 323?

Answer: LCM of 540, 230, 740, 817, 323 is 6382551060.

2. How to calculate the LCM of 540, 230, 740, 817, 323?

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, 230, 740, 817, 323.

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}.