Given numbers are 107,535,216,432,798

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

The LCM of 107,535,216,432,798 is 30738960.

Find LCM of 107,535,216,432,798 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 3 x 107 x 1 x 5 x 1 x 2 x 133 = 30738960

Therefore, the lowest common multiple of 107,535,216,432,798 is 30738960.

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.

107 x 535 x 216 x 432 x 798 = 4262633061120

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.

107 : 1, 107

535 : 1, 5, 107, 535

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,535,216,432,798, is 1.

Now, the common factors can be found like this.

107:107

535:5x 107

216:2x 2x 2x 3x 3x 3

432:2x 2x 2x 2x 3x 3x 3

798:2x 3x 7x 19

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 2x 3x 3x 3x 3x 107 = 138672

Therefore, the value for common factors is 138672.

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 = 4262633061120/(1x138672)

LCM = 4262633061120/138672

LCM = 30738960

Thus, we can understand that the LCM of 107,535,216,432,798 is 30738960.

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

• LCM of 836, 489, 676, 996, 285
• LCM of 142, 968, 410, 547, 506
• LCM of 538, 526, 826, 497, 125
• LCM of 923, 930, 192, 946, 788
• LCM of 939, 381, 436, 589, 658

1. What is the LCM of 107, 535, 216, 432, 798?

Answer: LCM of 107, 535, 216, 432, 798 is 30738960.

2. How to calculate the LCM of 107, 535, 216, 432, 798?

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 107, 535, 216, 432, 798.

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}.