Given numbers are 426,406,232,517

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

The LCM of 426,406,232,517 is 178836504.

Find LCM of 426,406,232,517 with Prime Factorization

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

2 x 29 x 213 x 7 x 4 x 517 = 178836504

Therefore, the lowest common multiple of 426,406,232,517 is 178836504.

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.

426 x 406 x 232 x 517 = 20745034464

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

406 : 1, 2, 7, 14, 29, 58, 203, 406

232 : 1, 2, 4, 8, 29, 58, 116, 232

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,406,232,517, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

406:2x 7x 29

232:2x 2x 2x 29

517:11x 47

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 29 = 116

Therefore, the value for common factors is 116.

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 = 20745034464/(1x116)

LCM = 20745034464/116

LCM = 178836504

Thus, we can understand that the LCM of 426,406,232,517 is 178836504.

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

• LCM of 893, 247, 198, 401
• LCM of 283, 959, 317, 594
• LCM of 976, 513, 720, 841
• LCM of 723, 465, 838, 735
• LCM of 711, 319, 280, 575

1. What is the LCM of 426, 406, 232, 517?

Answer: LCM of 426, 406, 232, 517 is 178836504.

2. How to calculate the LCM of 426, 406, 232, 517?

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 426, 406, 232, 517.

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}.