Given numbers are 331,128,930,133,417

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

The LCM of 331,128,930,133,417 is 364214605440.

Find LCM of 331,128,930,133,417 with Prime Factorization

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

2 x 3 x 331 x 64 x 155 x 133 x 139 = 364214605440

Therefore, the lowest common multiple of 331,128,930,133,417 is 364214605440.

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.

331 x 128 x 930 x 133 x 417 = 2185287632640

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.

331 : 1, 331

128 : 1, 2, 4, 8, 16, 32, 64, 128

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

133 : 1, 7, 19, 133

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,128,930,133,417, is 1.

Now, the common factors can be found like this.

331:331

128:2x 2x 2x 2x 2x 2x 2

930:2x 3x 5x 31

133:7x 19

417:3x 139

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 2185287632640/(1x6)

LCM = 2185287632640/6

LCM = 364214605440

Thus, we can understand that the LCM of 331,128,930,133,417 is 364214605440.

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

• LCM of 816, 314, 236, 138, 593
• LCM of 620, 761, 486, 320, 346
• LCM of 881, 894, 867, 908, 635
• LCM of 952, 419, 478, 166, 215
• LCM of 637, 823, 313, 878, 950

1. What is the LCM of 331, 128, 930, 133, 417?

Answer: LCM of 331, 128, 930, 133, 417 is 364214605440.

2. How to calculate the LCM of 331, 128, 930, 133, 417?

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 331, 128, 930, 133, 417.

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}.