Given numbers are 172,125,251,130,360

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

The LCM of 172,125,251,130,360 is 1262781000.

Find LCM of 172,125,251,130,360 with Prime Factorization

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

2 x 2 x 5 x 43 x 25 x 251 x 13 x 18 = 1262781000

Therefore, the lowest common multiple of 172,125,251,130,360 is 1262781000.

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.

172 x 125 x 251 x 130 x 360 = 252556200000

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.

172 : 1, 2, 4, 43, 86, 172

125 : 1, 5, 25, 125

251 : 1, 251

130 : 1, 2, 5, 10, 13, 26, 65, 130

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 172,125,251,130,360, is 1.

Now, the common factors can be found like this.

172:2x 2x 43

125:5x 5x 5

251:251

130:2x 5x 13

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

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 252556200000/(1x200)

LCM = 252556200000/200

LCM = 1262781000

Thus, we can understand that the LCM of 172,125,251,130,360 is 1262781000.

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

• LCM of 889, 716, 581, 828, 575
• LCM of 605, 490, 268, 249, 154
• LCM of 758, 963, 760, 900, 474
• LCM of 300, 167, 297, 950, 497
• LCM of 326, 521, 518, 513, 362

1. What is the LCM of 172, 125, 251, 130, 360?

Answer: LCM of 172, 125, 251, 130, 360 is 1262781000.

2. How to calculate the LCM of 172, 125, 251, 130, 360?

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 172, 125, 251, 130, 360.

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}.