Given numbers are 759,644,310,106,689

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

The LCM of 759,644,310,106,689 is 2269607340.

Find LCM of 759,644,310,106,689 with Prime Factorization

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

2 x 23 x 53 x 33 x 14 x 155 x 1 x 13 = 2269607340

Therefore, the lowest common multiple of 759,644,310,106,689 is 2269607340.

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 644 x 310 x 106 x 689 = 11066605389840

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

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

310 : 1, 2, 5, 10, 31, 62, 155, 310

106 : 1, 2, 53, 106

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,644,310,106,689, is 1.

Now, the common factors can be found like this.

759:3x 11x 23

644:2x 2x 7x 23

310:2x 5x 31

106:2x 53

689:13x 53

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 23x 53 = 4876

Therefore, the value for common factors is 4876.

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 = 11066605389840/(1x4876)

LCM = 11066605389840/4876

LCM = 2269607340

Thus, we can understand that the LCM of 759,644,310,106,689 is 2269607340.

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

• LCM of 458, 456, 344, 665, 975
• LCM of 639, 251, 350, 769, 894
• LCM of 317, 732, 213, 453, 209
• LCM of 851, 976, 777, 481, 193
• LCM of 500, 600, 197, 213, 251

1. What is the LCM of 759, 644, 310, 106, 689?

Answer: LCM of 759, 644, 310, 106, 689 is 2269607340.

2. How to calculate the LCM of 759, 644, 310, 106, 689?

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, 644, 310, 106, 689.

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}.