Given numbers are 869,406,609,331,756

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

The LCM of 869,406,609,331,756 is 6306197436.

Find LCM of 869,406,609,331,756 with Prime Factorization

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

2 x 3 x 7 x 29 x 869 x 1 x 1 x 331 x 18 = 6306197436

Therefore, the lowest common multiple of 869,406,609,331,756 is 6306197436.

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.

869 x 406 x 609 x 331 x 756 = 53766639339336

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.

869 : 1, 11, 79, 869

406 : 1, 2, 7, 14, 29, 58, 203, 406

609 : 1, 3, 7, 21, 29, 87, 203, 609

331 : 1, 331

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,406,609,331,756, is 1.

Now, the common factors can be found like this.

869:11x 79

406:2x 7x 29

609:3x 7x 29

331:331

756:2x 2x 3x 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 3x 7x 7x 29 = 8526

Therefore, the value for common factors is 8526.

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 = 53766639339336/(1x8526)

LCM = 53766639339336/8526

LCM = 6306197436

Thus, we can understand that the LCM of 869,406,609,331,756 is 6306197436.

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

• LCM of 486, 531, 854, 802, 104
• LCM of 729, 573, 338, 204, 311
• LCM of 487, 820, 788, 284, 892
• LCM of 550, 976, 883, 615, 103
• LCM of 756, 488, 554, 113, 149

1. What is the LCM of 869, 406, 609, 331, 756?

Answer: LCM of 869, 406, 609, 331, 756 is 6306197436.

2. How to calculate the LCM of 869, 406, 609, 331, 756?

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 869, 406, 609, 331, 756.

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}.