Given numbers are 759,117,137,840,616

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

The LCM of 759,117,137,840,616 is 1135494360.

Find LCM of 759,117,137,840,616 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 11 x 23 x 39 x 137 x 5 x 1 = 1135494360

Therefore, the lowest common multiple of 759,117,137,840,616 is 1135494360.

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.

759 x 117 x 137 x 840 x 616 = 6295180731840

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.

759 : 1, 3, 11, 23, 33, 69, 253, 759

117 : 1, 3, 9, 13, 39, 117

137 : 1, 137

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,117,137,840,616, is 1.

Now, the common factors can be found like this.

759:3x 11x 23

117:3x 3x 13

137:137

840:2x 2x 2x 3x 5x 7

616:2x 2x 2x 7x 11

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 3x 3x 7x 11 = 5544

Therefore, the value for common factors is 5544.

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 = 6295180731840/(1x5544)

LCM = 6295180731840/5544

LCM = 1135494360

Thus, we can understand that the LCM of 759,117,137,840,616 is 1135494360.

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

• LCM of 267, 396, 147, 618, 910
• LCM of 608, 308, 842, 957, 257
• LCM of 373, 174, 626, 387, 386
• LCM of 957, 155, 498, 198, 142
• LCM of 328, 294, 532, 298, 183

1. What is the LCM of 759, 117, 137, 840, 616?

Answer: LCM of 759, 117, 137, 840, 616 is 1135494360.

2. How to calculate the LCM of 759, 117, 137, 840, 616?

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 759, 117, 137, 840, 616.

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}.