Given numbers are 102,567,357,966,688

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

The LCM of 102,567,357,966,688 is 152527536.

Find LCM of 102,567,357,966,688 with Prime Factorization

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

2 x 3 x 7 x 17 x 1 x 27 x 1 x 23 x 344 = 152527536

Therefore, the lowest common multiple of 102,567,357,966,688 is 152527536.

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 567 x 357 x 966 x 688 = 13721987248704

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

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

357 : 1, 3, 7, 17, 21, 51, 119, 357

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,567,357,966,688, is 1.

Now, the common factors can be found like this.

102:2x 3x 17

567:3x 3x 3x 3x 7

357:3x 7x 17

966:2x 3x 7x 23

688:2x 2x 2x 2x 43

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 3x 7x 7x 17 = 89964

Therefore, the value for common factors is 89964.

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 = 13721987248704/(1x89964)

LCM = 13721987248704/89964

LCM = 152527536

Thus, we can understand that the LCM of 102,567,357,966,688 is 152527536.

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

• LCM of 897, 657, 491, 876, 989
• LCM of 428, 887, 824, 671, 100
• LCM of 231, 240, 115, 164, 175
• LCM of 651, 725, 602, 204, 121
• LCM of 627, 918, 114, 621, 717

1. What is the LCM of 102, 567, 357, 966, 688?

Answer: LCM of 102, 567, 357, 966, 688 is 152527536.

2. How to calculate the LCM of 102, 567, 357, 966, 688?

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, 567, 357, 966, 688.

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}.