Given numbers are 461,194,960,326,108

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

The LCM of 461,194,960,326,108 is 62975845440.

Find LCM of 461,194,960,326,108 with Prime Factorization

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

2 x 2 x 3 x 461 x 97 x 80 x 163 x 9 = 62975845440

Therefore, the lowest common multiple of 461,194,960,326,108 is 62975845440.

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.

461 x 194 x 960 x 326 x 108 = 3022840581120

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.

461 : 1, 461

194 : 1, 2, 97, 194

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

326 : 1, 2, 163, 326

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,194,960,326,108, is 1.

Now, the common factors can be found like this.

461:461

194:2x 97

960:2x 2x 2x 2x 2x 2x 3x 5

326:2x 163

108:2x 2x 3x 3x 3

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 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 3022840581120/(1x48)

LCM = 3022840581120/48

LCM = 62975845440

Thus, we can understand that the LCM of 461,194,960,326,108 is 62975845440.

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

• LCM of 217, 530, 798, 191, 924
• LCM of 519, 386, 689, 499, 505
• LCM of 983, 567, 756, 829, 213
• LCM of 366, 793, 847, 409, 687
• LCM of 293, 774, 953, 335, 737

1. What is the LCM of 461, 194, 960, 326, 108?

Answer: LCM of 461, 194, 960, 326, 108 is 62975845440.

2. How to calculate the LCM of 461, 194, 960, 326, 108?

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 461, 194, 960, 326, 108.

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}.