Given numbers are 670,255,460,247,350

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

The LCM of 670,255,460,247,350 is 13588383900.

Find LCM of 670,255,460,247,350 with Prime Factorization

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

2 x 5 x 67 x 51 x 46 x 247 x 35 = 13588383900

Therefore, the lowest common multiple of 670,255,460,247,350 is 13588383900.

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.

670 x 255 x 460 x 247 x 350 = 6794191950000

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.

670 : 1, 2, 5, 10, 67, 134, 335, 670

255 : 1, 3, 5, 15, 17, 51, 85, 255

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

247 : 1, 13, 19, 247

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,255,460,247,350, is 1.

Now, the common factors can be found like this.

670:2x 5x 67

255:3x 5x 17

460:2x 2x 5x 23

247:13x 19

350:2x 5x 5x 7

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 5x 5x 5 = 500

Therefore, the value for common factors is 500.

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 = 6794191950000/(1x500)

LCM = 6794191950000/500

LCM = 13588383900

Thus, we can understand that the LCM of 670,255,460,247,350 is 13588383900.

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

• LCM of 550, 134, 309, 901, 950
• LCM of 272, 439, 948, 281, 807
• LCM of 571, 991, 179, 479, 575
• LCM of 300, 398, 283, 639, 269
• LCM of 868, 456, 585, 890, 167

1. What is the LCM of 670, 255, 460, 247, 350?

Answer: LCM of 670, 255, 460, 247, 350 is 13588383900.

2. How to calculate the LCM of 670, 255, 460, 247, 350?

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 670, 255, 460, 247, 350.

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}.