Given numbers are 408,691,861,369,715

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

The LCM of 408,691,861,369,715 is 173559105720.

Find LCM of 408,691,861,369,715 with Prime Factorization

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

3 x 41 x 136 x 691 x 7 x 3 x 715 = 173559105720

Therefore, the lowest common multiple of 408,691,861,369,715 is 173559105720.

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.

408 x 691 x 861 x 369 x 715 = 64043310010680

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

691 : 1, 691

861 : 1, 3, 7, 21, 41, 123, 287, 861

369 : 1, 3, 9, 41, 123, 369

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,691,861,369,715, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

691:691

861:3x 7x 41

369:3x 3x 41

715:5x 11x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 41 = 369

Therefore, the value for common factors is 369.

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 = 64043310010680/(1x369)

LCM = 64043310010680/369

LCM = 173559105720

Thus, we can understand that the LCM of 408,691,861,369,715 is 173559105720.

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

• LCM of 774, 506, 861, 823, 792
• LCM of 492, 714, 635, 261, 401
• LCM of 889, 790, 229, 215, 132
• LCM of 478, 945, 327, 116, 521
• LCM of 581, 650, 939, 938, 520

1. What is the LCM of 408, 691, 861, 369, 715?

Answer: LCM of 408, 691, 861, 369, 715 is 173559105720.

2. How to calculate the LCM of 408, 691, 861, 369, 715?

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 408, 691, 861, 369, 715.

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}.