Given numbers are 395,286,102,936

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

The LCM of 395,286,102,936 is 69137640.

Find LCM of 395,286,102,936 with Prime Factorization

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

2 x 3 x 13 x 395 x 11 x 17 x 12 = 69137640

Therefore, the lowest common multiple of 395,286,102,936 is 69137640.

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.

395 x 286 x 102 x 936 = 10785471840

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.

395 : 1, 5, 79, 395

286 : 1, 2, 11, 13, 22, 26, 143, 286

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

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,286,102,936, is 1.

Now, the common factors can be found like this.

395:5x 79

286:2x 11x 13

102:2x 3x 17

936:2x 2x 2x 3x 3x 13

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 13 = 156

Therefore, the value for common factors is 156.

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 = 10785471840/(1x156)

LCM = 10785471840/156

LCM = 69137640

Thus, we can understand that the LCM of 395,286,102,936 is 69137640.

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

• LCM of 363, 631, 820, 610
• LCM of 809, 498, 799, 909
• LCM of 484, 335, 212, 389
• LCM of 978, 231, 825, 759
• LCM of 843, 792, 885, 179

1. What is the LCM of 395, 286, 102, 936?

Answer: LCM of 395, 286, 102, 936 is 69137640.

2. How to calculate the LCM of 395, 286, 102, 936?

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 395, 286, 102, 936.

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}.