Given numbers are 349,720,922,130,230

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

The LCM of 349,720,922,130,230 is 34636183920.

Find LCM of 349,720,922,130,230 with Prime Factorization

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

2 x 5 x 349 x 72 x 461 x 13 x 23 = 34636183920

Therefore, the lowest common multiple of 349,720,922,130,230 is 34636183920.

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.

349 x 720 x 922 x 130 x 230 = 6927236784000

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.

349 : 1, 349

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

922 : 1, 2, 461, 922

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

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,720,922,130,230, is 1.

Now, the common factors can be found like this.

349:349

720:2x 2x 2x 2x 3x 3x 5

922:2x 461

130:2x 5x 13

230:2x 5x 23

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 = 6927236784000/(1x200)

LCM = 6927236784000/200

LCM = 34636183920

Thus, we can understand that the LCM of 349,720,922,130,230 is 34636183920.

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

• LCM of 761, 508, 986, 375, 858
• LCM of 631, 791, 563, 452, 341
• LCM of 806, 417, 541, 559, 944
• LCM of 968, 838, 817, 667, 163
• LCM of 550, 992, 261, 805, 905

1. What is the LCM of 349, 720, 922, 130, 230?

Answer: LCM of 349, 720, 922, 130, 230 is 34636183920.

2. How to calculate the LCM of 349, 720, 922, 130, 230?

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 349, 720, 922, 130, 230.

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}.