Given numbers are 326,414,521,726,136

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

The LCM of 326,414,521,726,136 is 289281027816.

Find LCM of 326,414,521,726,136 with Prime Factorization

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

2 x 3 x 163 x 69 x 521 x 121 x 68 = 289281027816

Therefore, the lowest common multiple of 326,414,521,726,136 is 289281027816.

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.

326 x 414 x 521 x 726 x 136 = 6942744667584

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.

326 : 1, 2, 163, 326

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

521 : 1, 521

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

136 : 1, 2, 4, 8, 17, 34, 68, 136

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,414,521,726,136, is 1.

Now, the common factors can be found like this.

326:2x 163

414:2x 3x 3x 23

521:521

726:2x 3x 11x 11

136:2x 2x 2x 17

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 3 = 24

Therefore, the value for common factors is 24.

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 = 6942744667584/(1x24)

LCM = 6942744667584/24

LCM = 289281027816

Thus, we can understand that the LCM of 326,414,521,726,136 is 289281027816.

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

• LCM of 999, 994, 197, 914, 309
• LCM of 357, 836, 787, 705, 984
• LCM of 520, 720, 149, 166, 837
• LCM of 236, 638, 782, 578, 252
• LCM of 992, 146, 956, 878, 635

1. What is the LCM of 326, 414, 521, 726, 136?

Answer: LCM of 326, 414, 521, 726, 136 is 289281027816.

2. How to calculate the LCM of 326, 414, 521, 726, 136?

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 326, 414, 521, 726, 136.

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}.