Given numbers are 272,748,316,709,840

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

The LCM of 272,748,316,709,840 is 17596415760.

Find LCM of 272,748,316,709,840 with Prime Factorization

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

2 x 2 x 2 x 17 x 2 x 11 x 79 x 709 x 105 = 17596415760

Therefore, the lowest common multiple of 272,748,316,709,840 is 17596415760.

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 748 x 316 x 709 x 840 = 38289800693760

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

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

316 : 1, 2, 4, 79, 158, 316

709 : 1, 709

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,748,316,709,840, is 1.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

748:2x 2x 11x 17

316:2x 2x 79

709:709

840:2x 2x 2x 3x 5x 7

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 2x 2x 2x 17 = 2176

Therefore, the value for common factors is 2176.

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 = 38289800693760/(1x2176)

LCM = 38289800693760/2176

LCM = 17596415760

Thus, we can understand that the LCM of 272,748,316,709,840 is 17596415760.

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

• LCM of 449, 194, 529, 799, 514
• LCM of 449, 952, 270, 895, 140
• LCM of 310, 614, 461, 878, 297
• LCM of 390, 999, 471, 321, 256
• LCM of 468, 974, 311, 759, 340

1. What is the LCM of 272, 748, 316, 709, 840?

Answer: LCM of 272, 748, 316, 709, 840 is 17596415760.

2. How to calculate the LCM of 272, 748, 316, 709, 840?

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, 748, 316, 709, 840.

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}.