Given numbers are 930,276,732,409

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

The LCM of 930,276,732,409 is 1067318220.

Find LCM of 930,276,732,409 with Prime Factorization

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

2 x 2 x 3 x 155 x 23 x 61 x 409 = 1067318220

Therefore, the lowest common multiple of 930,276,732,409 is 1067318220.

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 276 x 732 x 409 = 76846911840

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

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,276,732,409, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

276:2x 2x 3x 23

732:2x 2x 3x 61

409:409

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 76846911840/(1x72)

LCM = 76846911840/72

LCM = 1067318220

Thus, we can understand that the LCM of 930,276,732,409 is 1067318220.

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

• LCM of 408, 776, 545, 108
• LCM of 972, 836, 951, 780
• LCM of 219, 662, 869, 226
• LCM of 338, 626, 396, 165
• LCM of 574, 182, 139, 762

1. What is the LCM of 930, 276, 732, 409?

Answer: LCM of 930, 276, 732, 409 is 1067318220.

2. How to calculate the LCM of 930, 276, 732, 409?

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, 276, 732, 409.

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}.