Given numbers are 369,133,214,416,944

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

The LCM of 369,133,214,416,944 is 128886410016.

Find LCM of 369,133,214,416,944 with Prime Factorization

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

2 x 2 x 2 x 2 x 369 x 133 x 107 x 26 x 59 = 128886410016

Therefore, the lowest common multiple of 369,133,214,416,944 is 128886410016.

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 133 x 214 x 416 x 944 = 4124365120512

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

133 : 1, 7, 19, 133

214 : 1, 2, 107, 214

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,133,214,416,944, is 1.

Now, the common factors can be found like this.

369:3x 3x 41

133:7x 19

214:2x 107

416:2x 2x 2x 2x 2x 13

944:2x 2x 2x 2x 59

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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 4124365120512/(1x32)

LCM = 4124365120512/32

LCM = 128886410016

Thus, we can understand that the LCM of 369,133,214,416,944 is 128886410016.

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

• LCM of 818, 679, 219, 130, 595
• LCM of 567, 104, 339, 313, 439
• LCM of 900, 365, 188, 201, 297
• LCM of 907, 724, 772, 499, 338
• LCM of 349, 600, 998, 789, 635

1. What is the LCM of 369, 133, 214, 416, 944?

Answer: LCM of 369, 133, 214, 416, 944 is 128886410016.

2. How to calculate the LCM of 369, 133, 214, 416, 944?

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, 133, 214, 416, 944.

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}.