Given numbers are 762,115,480,272,736

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

The LCM of 762,115,480,272,736 is 23835360.

Find LCM of 762,115,480,272,736 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 5 x 23 x 127 x 1 x 1 x 17 x 1 = 23835360

Therefore, the lowest common multiple of 762,115,480,272,736 is 23835360.

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.

762 x 115 x 480 x 272 x 736 = 8420555980800

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.

762 : 1, 2, 3, 6, 127, 254, 381, 762

115 : 1, 5, 23, 115

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,115,480,272,736, is 1.

Now, the common factors can be found like this.

762:2x 3x 127

115:5x 23

480:2x 2x 2x 2x 2x 3x 5

272:2x 2x 2x 2x 17

736:2x 2x 2x 2x 2x 23

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 2x 2x 2x 3x 5x 23 = 353280

Therefore, the value for common factors is 353280.

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 = 8420555980800/(1x353280)

LCM = 8420555980800/353280

LCM = 23835360

Thus, we can understand that the LCM of 762,115,480,272,736 is 23835360.

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

• LCM of 563, 629, 133, 146, 745
• LCM of 318, 219, 692, 396, 632
• LCM of 314, 871, 786, 547, 209
• LCM of 965, 314, 309, 239, 263
• LCM of 105, 983, 434, 722, 682

1. What is the LCM of 762, 115, 480, 272, 736?

Answer: LCM of 762, 115, 480, 272, 736 is 23835360.

2. How to calculate the LCM of 762, 115, 480, 272, 736?

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 762, 115, 480, 272, 736.

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}.