Given numbers are 350,269,414,828,648

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

The LCM of 350,269,414,828,648 is 701605800.

Find LCM of 350,269,414,828,648 with Prime Factorization

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

2 x 2 x 3 x 3 x 23 x 175 x 269 x 1 x 1 x 18 = 701605800

Therefore, the lowest common multiple of 350,269,414,828,648 is 701605800.

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.

350 x 269 x 414 x 828 x 648 = 20913465686400

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.

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

269 : 1, 269

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,269,414,828,648, is 1.

Now, the common factors can be found like this.

350:2x 5x 5x 7

269:269

414:2x 3x 3x 23

828:2x 2x 3x 3x 23

648:2x 2x 2x 3x 3x 3x 3

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 3x 3x 3x 3x 23 = 29808

Therefore, the value for common factors is 29808.

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 = 20913465686400/(1x29808)

LCM = 20913465686400/29808

LCM = 701605800

Thus, we can understand that the LCM of 350,269,414,828,648 is 701605800.

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

• LCM of 242, 451, 502, 500, 180
• LCM of 208, 308, 631, 218, 649
• LCM of 979, 655, 928, 888, 281
• LCM of 231, 926, 776, 221, 256
• LCM of 449, 937, 647, 839, 291

1. What is the LCM of 350, 269, 414, 828, 648?

Answer: LCM of 350, 269, 414, 828, 648 is 701605800.

2. How to calculate the LCM of 350, 269, 414, 828, 648?

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 350, 269, 414, 828, 648.

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}.