Given numbers are 565,328,614,172

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

The LCM of 565,328,614,172 is 2446409320.

Find LCM of 565,328,614,172 with Prime Factorization

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

2 x 2 x 565 x 82 x 307 x 43 = 2446409320

Therefore, the lowest common multiple of 565,328,614,172 is 2446409320.

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.

565 x 328 x 614 x 172 = 19571274560

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.

565 : 1, 5, 113, 565

328 : 1, 2, 4, 8, 41, 82, 164, 328

614 : 1, 2, 307, 614

172 : 1, 2, 4, 43, 86, 172

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,328,614,172, is 1.

Now, the common factors can be found like this.

565:5x 113

328:2x 2x 2x 41

614:2x 307

172:2x 2x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 19571274560/(1x8)

LCM = 19571274560/8

LCM = 2446409320

Thus, we can understand that the LCM of 565,328,614,172 is 2446409320.

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

• LCM of 473, 619, 740, 785
• LCM of 678, 552, 781, 268
• LCM of 363, 561, 193, 658
• LCM of 345, 150, 556, 193
• LCM of 951, 322, 621, 586

1. What is the LCM of 565, 328, 614, 172?

Answer: LCM of 565, 328, 614, 172 is 2446409320.

2. How to calculate the LCM of 565, 328, 614, 172?

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 565, 328, 614, 172.

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}.