Given numbers are 107,232,296,782

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

The LCM of 107,232,296,782 is 359128808.

Find LCM of 107,232,296,782 with Prime Factorization

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

2 x 2 x 2 x 107 x 29 x 37 x 391 = 359128808

Therefore, the lowest common multiple of 107,232,296,782 is 359128808.

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.

107 x 232 x 296 x 782 = 5746060928

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.

107 : 1, 107

232 : 1, 2, 4, 8, 29, 58, 116, 232

296 : 1, 2, 4, 8, 37, 74, 148, 296

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,232,296,782, is 1.

Now, the common factors can be found like this.

107:107

232:2x 2x 2x 29

296:2x 2x 2x 37

782:2x 17x 23

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 2 = 16

Therefore, the value for common factors is 16.

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 = 5746060928/(1x16)

LCM = 5746060928/16

LCM = 359128808

Thus, we can understand that the LCM of 107,232,296,782 is 359128808.

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

• LCM of 512, 251, 895, 179
• LCM of 972, 936, 159, 272
• LCM of 114, 178, 300, 432
• LCM of 758, 716, 148, 308
• LCM of 668, 700, 190, 192

1. What is the LCM of 107, 232, 296, 782?

Answer: LCM of 107, 232, 296, 782 is 359128808.

2. How to calculate the LCM of 107, 232, 296, 782?

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 107, 232, 296, 782.

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}.