Given numbers are 464,103,128,393,961

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

The LCM of 464,103,128,393,961 is 144397984128.

Find LCM of 464,103,128,393,961 with Prime Factorization

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

2 x 2 x 2 x 2 x 29 x 103 x 8 x 393 x 961 = 144397984128

Therefore, the lowest common multiple of 464,103,128,393,961 is 144397984128.

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.

464 x 103 x 128 x 393 x 961 = 2310367746048

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

103 : 1, 103

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

393 : 1, 3, 131, 393

961 : 1, 31, 961

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,103,128,393,961, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

103:103

128:2x 2x 2x 2x 2x 2x 2

393:3x 131

961:31x 31

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 = 2310367746048/(1x16)

LCM = 2310367746048/16

LCM = 144397984128

Thus, we can understand that the LCM of 464,103,128,393,961 is 144397984128.

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

• LCM of 385, 613, 719, 124, 658
• LCM of 224, 618, 329, 172, 131
• LCM of 346, 716, 115, 855, 719
• LCM of 988, 211, 846, 708, 521
• LCM of 425, 311, 152, 673, 692

1. What is the LCM of 464, 103, 128, 393, 961?

Answer: LCM of 464, 103, 128, 393, 961 is 144397984128.

2. How to calculate the LCM of 464, 103, 128, 393, 961?

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 464, 103, 128, 393, 961.

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}.