Given numbers are 318,406,369,564,561

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

The LCM of 318,406,369,564,561 is 139571816076.

Find LCM of 318,406,369,564,561 with Prime Factorization

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

2 x 3 x 53 x 203 x 123 x 94 x 187 = 139571816076

Therefore, the lowest common multiple of 318,406,369,564,561 is 139571816076.

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.

318 x 406 x 369 x 564 x 561 = 15073756136208

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.

318 : 1, 2, 3, 6, 53, 106, 159, 318

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

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

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

561 : 1, 3, 11, 17, 33, 51, 187, 561

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,406,369,564,561, is 1.

Now, the common factors can be found like this.

318:2x 3x 53

406:2x 7x 29

369:3x 3x 41

564:2x 2x 3x 47

561:3x 11x 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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 15073756136208/(1x108)

LCM = 15073756136208/108

LCM = 139571816076

Thus, we can understand that the LCM of 318,406,369,564,561 is 139571816076.

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

• LCM of 966, 179, 967, 734, 494
• LCM of 931, 417, 446, 914, 565
• LCM of 775, 966, 284, 684, 503
• LCM of 478, 152, 497, 296, 368
• LCM of 365, 320, 753, 705, 483

1. What is the LCM of 318, 406, 369, 564, 561?

Answer: LCM of 318, 406, 369, 564, 561 is 139571816076.

2. How to calculate the LCM of 318, 406, 369, 564, 561?

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 318, 406, 369, 564, 561.

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}.