Given numbers are 161,103,110,772,312

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

The LCM of 161,103,110,772,312 is 54920906040.

Find LCM of 161,103,110,772,312 with Prime Factorization

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

2 x 2 x 161 x 103 x 55 x 193 x 78 = 54920906040

Therefore, the lowest common multiple of 161,103,110,772,312 is 54920906040.

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.

161 x 103 x 110 x 772 x 312 = 439367248320

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.

161 : 1, 7, 23, 161

103 : 1, 103

110 : 1, 2, 5, 10, 11, 22, 55, 110

772 : 1, 2, 4, 193, 386, 772

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,103,110,772,312, is 1.

Now, the common factors can be found like this.

161:7x 23

103:103

110:2x 5x 11

772:2x 2x 193

312:2x 2x 2x 3x 13

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 2 = 8

Therefore, the value for common factors is 8.

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 = 439367248320/(1x8)

LCM = 439367248320/8

LCM = 54920906040

Thus, we can understand that the LCM of 161,103,110,772,312 is 54920906040.

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

• LCM of 116, 703, 877, 779, 697
• LCM of 538, 801, 754, 143, 708
• LCM of 188, 900, 866, 731, 639
• LCM of 521, 670, 704, 304, 390
• LCM of 670, 417, 970, 841, 173

1. What is the LCM of 161, 103, 110, 772, 312?

Answer: LCM of 161, 103, 110, 772, 312 is 54920906040.

2. How to calculate the LCM of 161, 103, 110, 772, 312?

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 161, 103, 110, 772, 312.

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}.