Given numbers are 102,395,116,504

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

The LCM of 102,395,116,504 is 98146440.

Find LCM of 102,395,116,504 with Prime Factorization

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

2 x 2 x 3 x 17 x 395 x 29 x 42 = 98146440

Therefore, the lowest common multiple of 102,395,116,504 is 98146440.

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 395 x 116 x 504 = 2355514560

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

395 : 1, 5, 79, 395

116 : 1, 2, 4, 29, 58, 116

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,395,116,504, is 1.

Now, the common factors can be found like this.

102:2x 3x 17

395:5x 79

116:2x 2x 29

504:2x 2x 2x 3x 3x 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 3 = 24

Therefore, the value for common factors is 24.

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 = 2355514560/(1x24)

LCM = 2355514560/24

LCM = 98146440

Thus, we can understand that the LCM of 102,395,116,504 is 98146440.

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

• LCM of 508, 836, 597, 998
• LCM of 573, 139, 575, 851
• LCM of 242, 725, 315, 601
• LCM of 202, 518, 764, 810
• LCM of 353, 248, 363, 960

1. What is the LCM of 102, 395, 116, 504?

Answer: LCM of 102, 395, 116, 504 is 98146440.

2. How to calculate the LCM of 102, 395, 116, 504?

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, 395, 116, 504.

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}.