Given numbers are 102,273,390,656,517

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

The LCM of 102,273,390,656,517 is 7870022160.

Find LCM of 102,273,390,656,517 with Prime Factorization

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

2 x 3 x 13 x 17 x 7 x 5 x 328 x 517 = 7870022160

Therefore, the lowest common multiple of 102,273,390,656,517 is 7870022160.

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.

102 x 273 x 390 x 656 x 517 = 3683170370880

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.

102 : 1, 2, 3, 6, 17, 34, 51, 102

273 : 1, 3, 7, 13, 21, 39, 91, 273

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,273,390,656,517, is 1.

Now, the common factors can be found like this.

102:2x 3x 17

273:3x 7x 13

390:2x 3x 5x 13

656:2x 2x 2x 2x 41

517:11x 47

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 3x 3x 13 = 468

Therefore, the value for common factors is 468.

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 = 3683170370880/(1x468)

LCM = 3683170370880/468

LCM = 7870022160

Thus, we can understand that the LCM of 102,273,390,656,517 is 7870022160.

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

• LCM of 361, 366, 976, 117, 350
• LCM of 462, 491, 577, 485, 201
• LCM of 795, 111, 370, 574, 877
• LCM of 782, 899, 746, 608, 176
• LCM of 340, 147, 677, 469, 636

1. What is the LCM of 102, 273, 390, 656, 517?

Answer: LCM of 102, 273, 390, 656, 517 is 7870022160.

2. How to calculate the LCM of 102, 273, 390, 656, 517?

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 102, 273, 390, 656, 517.

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}.