Given numbers are 369,403,455,572,361

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

The LCM of 369,403,455,572,361 is 82672169580.

Find LCM of 369,403,455,572,361 with Prime Factorization

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

13 x 369 x 31 x 35 x 44 x 361 = 82672169580

Therefore, the lowest common multiple of 369,403,455,572,361 is 82672169580.

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.

369 x 403 x 455 x 572 x 361 = 13971596659020

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.

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

403 : 1, 13, 31, 403

455 : 1, 5, 7, 13, 35, 65, 91, 455

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,403,455,572,361, is 1.

Now, the common factors can be found like this.

369:3x 3x 41

403:13x 31

455:5x 7x 13

572:2x 2x 11x 13

361:19x 19

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 13971596659020/(1x169)

LCM = 13971596659020/169

LCM = 82672169580

Thus, we can understand that the LCM of 369,403,455,572,361 is 82672169580.

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

• LCM of 762, 642, 736, 468, 830
• LCM of 724, 592, 538, 732, 876
• LCM of 776, 949, 866, 179, 574
• LCM of 478, 385, 140, 404, 668
• LCM of 385, 198, 294, 254, 411

1. What is the LCM of 369, 403, 455, 572, 361?

Answer: LCM of 369, 403, 455, 572, 361 is 82672169580.

2. How to calculate the LCM of 369, 403, 455, 572, 361?

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 369, 403, 455, 572, 361.

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}.