Given numbers are 361,735,606,228,952

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

The LCM of 361,735,606,228,952 is 3644641560.

Find LCM of 361,735,606,228,952 with Prime Factorization

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

2 x 2 x 3 x 7 x 19 x 1 x 35 x 101 x 19 x 34 = 3644641560

Therefore, the lowest common multiple of 361,735,606,228,952 is 3644641560.

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.

361 x 735 x 606 x 228 x 952 = 34901087578560

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.

361 : 1, 19, 361

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

606 : 1, 2, 3, 6, 101, 202, 303, 606

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,735,606,228,952, is 1.

Now, the common factors can be found like this.

361:19x 19

735:3x 5x 7x 7

606:2x 3x 101

228:2x 2x 3x 19

952:2x 2x 2x 7x 17

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 19 = 9576

Therefore, the value for common factors is 9576.

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 = 34901087578560/(1x9576)

LCM = 34901087578560/9576

LCM = 3644641560

Thus, we can understand that the LCM of 361,735,606,228,952 is 3644641560.

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

• LCM of 455, 549, 891, 748, 112
• LCM of 492, 961, 694, 860, 607
• LCM of 619, 964, 799, 425, 268
• LCM of 266, 321, 739, 106, 833
• LCM of 797, 446, 111, 123, 306

1. What is the LCM of 361, 735, 606, 228, 952?

Answer: LCM of 361, 735, 606, 228, 952 is 3644641560.

2. How to calculate the LCM of 361, 735, 606, 228, 952?

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 361, 735, 606, 228, 952.

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}.