Given numbers are 107,256,465,342

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

The LCM of 107,256,465,342 is 726024960.

Find LCM of 107,256,465,342 with Prime Factorization

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

2 x 3 x 107 x 128 x 155 x 57 = 726024960

Therefore, the lowest common multiple of 107,256,465,342 is 726024960.

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 256 x 465 x 342 = 4356149760

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

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

465 : 1, 3, 5, 15, 31, 93, 155, 465

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,256,465,342, is 1.

Now, the common factors can be found like this.

107:107

256:2x 2x 2x 2x 2x 2x 2x 2

465:3x 5x 31

342:2x 3x 3x 19

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 = 4356149760/(1x6)

LCM = 4356149760/6

LCM = 726024960

Thus, we can understand that the LCM of 107,256,465,342 is 726024960.

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

• LCM of 558, 300, 302, 979
• LCM of 336, 702, 454, 418
• LCM of 914, 164, 756, 724
• LCM of 307, 934, 121, 870
• LCM of 179, 996, 945, 355

1. What is the LCM of 107, 256, 465, 342?

Answer: LCM of 107, 256, 465, 342 is 726024960.

2. How to calculate the LCM of 107, 256, 465, 342?

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, 256, 465, 342.

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}.