Given numbers are 460,634,276,107

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

The LCM of 460,634,276,107 is 46808220.

Find LCM of 460,634,276,107 with Prime Factorization

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

2 x 2 x 23 x 5 x 317 x 3 x 107 = 46808220

Therefore, the lowest common multiple of 460,634,276,107 is 46808220.

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.

460 x 634 x 276 x 107 = 8612712480

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

634 : 1, 2, 317, 634

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

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,634,276,107, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

634:2x 317

276:2x 2x 3x 23

107:107

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 23 = 184

Therefore, the value for common factors is 184.

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 = 8612712480/(1x184)

LCM = 8612712480/184

LCM = 46808220

Thus, we can understand that the LCM of 460,634,276,107 is 46808220.

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

• LCM of 671, 421, 796, 529
• LCM of 615, 504, 656, 611
• LCM of 323, 943, 861, 189
• LCM of 355, 282, 752, 427
• LCM of 510, 460, 525, 311

1. What is the LCM of 460, 634, 276, 107?

Answer: LCM of 460, 634, 276, 107 is 46808220.

2. How to calculate the LCM of 460, 634, 276, 107?

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 460, 634, 276, 107.

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}.