Given numbers are 414,130,208,731

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

The LCM of 414,130,208,731 is 157369680.

Find LCM of 414,130,208,731 with Prime Factorization

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

2 x 13 x 207 x 5 x 8 x 731 = 157369680

Therefore, the lowest common multiple of 414,130,208,731 is 157369680.

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.

414 x 130 x 208 x 731 = 8183223360

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.

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

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

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

731 : 1, 17, 43, 731

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,130,208,731, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

130:2x 5x 13

208:2x 2x 2x 2x 13

731:17x 43

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 13 = 52

Therefore, the value for common factors is 52.

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 = 8183223360/(1x52)

LCM = 8183223360/52

LCM = 157369680

Thus, we can understand that the LCM of 414,130,208,731 is 157369680.

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

• LCM of 538, 503, 952, 947
• LCM of 556, 644, 281, 237
• LCM of 725, 757, 746, 289
• LCM of 142, 262, 295, 907
• LCM of 525, 689, 426, 871

1. What is the LCM of 414, 130, 208, 731?

Answer: LCM of 414, 130, 208, 731 is 157369680.

2. How to calculate the LCM of 414, 130, 208, 731?

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 414, 130, 208, 731.

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}.