Given numbers are 335,209,272,360

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

The LCM of 335,209,272,360 is 171396720.

Find LCM of 335,209,272,360 with Prime Factorization

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

2 x 2 x 2 x 5 x 67 x 209 x 34 x 9 = 171396720

Therefore, the lowest common multiple of 335,209,272,360 is 171396720.

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.

335 x 209 x 272 x 360 = 6855868800

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.

335 : 1, 5, 67, 335

209 : 1, 11, 19, 209

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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 335,209,272,360, is 1.

Now, the common factors can be found like this.

335:5x 67

209:11x 19

272:2x 2x 2x 2x 17

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 5 = 40

Therefore, the value for common factors is 40.

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 = 6855868800/(1x40)

LCM = 6855868800/40

LCM = 171396720

Thus, we can understand that the LCM of 335,209,272,360 is 171396720.

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

• LCM of 657, 306, 175, 473
• LCM of 675, 149, 920, 887
• LCM of 770, 343, 316, 692
• LCM of 583, 947, 633, 468
• LCM of 308, 279, 820, 836

1. What is the LCM of 335, 209, 272, 360?

Answer: LCM of 335, 209, 272, 360 is 171396720.

2. How to calculate the LCM of 335, 209, 272, 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 335, 209, 272, 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}.