Given numbers are 930,975,104,461,390

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

The LCM of 930,975,104,461,390 is 111469800.

Find LCM of 930,975,104,461,390 with Prime Factorization

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

2 x 3 x 5 x 13 x 31 x 1 x 4 x 461 x 5 = 111469800

Therefore, the lowest common multiple of 930,975,104,461,390 is 111469800.

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.

930 x 975 x 104 x 461 x 390 = 16954556580000

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.

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

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

104 : 1, 2, 4, 8, 13, 26, 52, 104

461 : 1, 461

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,975,104,461,390, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

975:3x 5x 5x 13

104:2x 2x 2x 13

461:461

390:2x 3x 5x 13

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 5x 5x 13x 13 = 152100

Therefore, the value for common factors is 152100.

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 = 16954556580000/(1x152100)

LCM = 16954556580000/152100

LCM = 111469800

Thus, we can understand that the LCM of 930,975,104,461,390 is 111469800.

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

• LCM of 753, 808, 120, 770, 324
• LCM of 576, 180, 483, 528, 895
• LCM of 609, 399, 931, 332, 102
• LCM of 751, 641, 290, 619, 996
• LCM of 990, 776, 600, 125, 258

1. What is the LCM of 930, 975, 104, 461, 390?

Answer: LCM of 930, 975, 104, 461, 390 is 111469800.

2. How to calculate the LCM of 930, 975, 104, 461, 390?

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 930, 975, 104, 461, 390.

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}.