Given numbers are 731,540,138,273,407

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

The LCM of 731,540,138,273,407 is 336259663740.

Find LCM of 731,540,138,273,407 with Prime Factorization

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

2 x 3 x 731 x 90 x 23 x 91 x 407 = 336259663740

Therefore, the lowest common multiple of 731,540,138,273,407 is 336259663740.

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.

731 x 540 x 138 x 273 x 407 = 6052673947320

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.

731 : 1, 17, 43, 731

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

138 : 1, 2, 3, 6, 23, 46, 69, 138

273 : 1, 3, 7, 13, 21, 39, 91, 273

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,540,138,273,407, is 1.

Now, the common factors can be found like this.

731:17x 43

540:2x 2x 3x 3x 3x 5

138:2x 3x 23

273:3x 7x 13

407:11x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 6052673947320/(1x18)

LCM = 6052673947320/18

LCM = 336259663740

Thus, we can understand that the LCM of 731,540,138,273,407 is 336259663740.

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

• LCM of 996, 830, 184, 237, 931
• LCM of 829, 909, 851, 337, 488
• LCM of 640, 905, 257, 894, 836
• LCM of 363, 811, 286, 974, 124
• LCM of 813, 618, 436, 822, 299

1. What is the LCM of 731, 540, 138, 273, 407?

Answer: LCM of 731, 540, 138, 273, 407 is 336259663740.

2. How to calculate the LCM of 731, 540, 138, 273, 407?

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 731, 540, 138, 273, 407.

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}.