Given numbers are 177,708,552,360,442

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

The LCM of 177,708,552,360,442 is 107962920.

Find LCM of 177,708,552,360,442 with Prime Factorization

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

2 x 2 x 2 x 3 x 59 x 1 x 1 x 23 x 15 x 221 = 107962920

Therefore, the lowest common multiple of 177,708,552,360,442 is 107962920.

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.

177 x 708 x 552 x 360 x 442 = 11007035619840

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.

177 : 1, 3, 59, 177

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,708,552,360,442, is 1.

Now, the common factors can be found like this.

177:3x 59

708:2x 2x 3x 59

552:2x 2x 2x 3x 23

360:2x 2x 2x 3x 3x 5

442:2x 13x 17

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 2x 2x 3x 3x 3x 59 = 101952

Therefore, the value for common factors is 101952.

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 = 11007035619840/(1x101952)

LCM = 11007035619840/101952

LCM = 107962920

Thus, we can understand that the LCM of 177,708,552,360,442 is 107962920.

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

• LCM of 816, 560, 185, 408, 928
• LCM of 352, 909, 190, 616, 333
• LCM of 497, 210, 676, 777, 697
• LCM of 499, 346, 644, 600, 216
• LCM of 345, 578, 687, 769, 298

1. What is the LCM of 177, 708, 552, 360, 442?

Answer: LCM of 177, 708, 552, 360, 442 is 107962920.

2. How to calculate the LCM of 177, 708, 552, 360, 442?

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 177, 708, 552, 360, 442.

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}.