Given numbers are 970,817,284,272

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

The LCM of 970,817,284,272 is 7652283440.

Find LCM of 970,817,284,272 with Prime Factorization

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

2 x 2 x 485 x 817 x 71 x 68 = 7652283440

Therefore, the lowest common multiple of 970,817,284,272 is 7652283440.

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.

970 x 817 x 284 x 272 = 61218267520

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.

970 : 1, 2, 5, 10, 97, 194, 485, 970

817 : 1, 19, 43, 817

284 : 1, 2, 4, 71, 142, 284

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,817,284,272, is 1.

Now, the common factors can be found like this.

970:2x 5x 97

817:19x 43

284:2x 2x 71

272:2x 2x 2x 2x 17

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 2 = 8

Therefore, the value for common factors is 8.

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 = 61218267520/(1x8)

LCM = 61218267520/8

LCM = 7652283440

Thus, we can understand that the LCM of 970,817,284,272 is 7652283440.

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

• LCM of 934, 262, 385, 817
• LCM of 314, 752, 459, 373
• LCM of 429, 412, 853, 654
• LCM of 226, 334, 366, 606
• LCM of 287, 831, 601, 319

1. What is the LCM of 970, 817, 284, 272?

Answer: LCM of 970, 817, 284, 272 is 7652283440.

2. How to calculate the LCM of 970, 817, 284, 272?

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 970, 817, 284, 272.

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}.