Given numbers are 272,396,613,465,868

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

The LCM of 272,396,613,465,868 is 17909947440.

Find LCM of 272,396,613,465,868 with Prime Factorization

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

2 x 2 x 3 x 31 x 68 x 33 x 613 x 5 x 7 = 17909947440

Therefore, the lowest common multiple of 272,396,613,465,868 is 17909947440.

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.

272 x 396 x 613 x 465 x 868 = 26650001790720

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.

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

613 : 1, 613

465 : 1, 3, 5, 15, 31, 93, 155, 465

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,396,613,465,868, is 1.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

396:2x 2x 3x 3x 11

613:613

465:3x 5x 31

868:2x 2x 7x 31

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 2x 3x 31 = 1488

Therefore, the value for common factors is 1488.

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 = 26650001790720/(1x1488)

LCM = 26650001790720/1488

LCM = 17909947440

Thus, we can understand that the LCM of 272,396,613,465,868 is 17909947440.

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

• LCM of 345, 964, 156, 993, 452
• LCM of 280, 583, 901, 302, 839
• LCM of 555, 850, 610, 957, 897
• LCM of 416, 604, 373, 804, 232
• LCM of 460, 996, 156, 396, 247

1. What is the LCM of 272, 396, 613, 465, 868?

Answer: LCM of 272, 396, 613, 465, 868 is 17909947440.

2. How to calculate the LCM of 272, 396, 613, 465, 868?

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 272, 396, 613, 465, 868.

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}.