Given numbers are 506,307,165,428

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

The LCM of 506,307,165,428 is 498647820.

Find LCM of 506,307,165,428 with Prime Factorization

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

2 x 11 x 23 x 307 x 15 x 214 = 498647820

Therefore, the lowest common multiple of 506,307,165,428 is 498647820.

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.

506 x 307 x 165 x 428 = 10970252040

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

307 : 1, 307

165 : 1, 3, 5, 11, 15, 33, 55, 165

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,307,165,428, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

307:307

165:3x 5x 11

428:2x 2x 107

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 10970252040/(1x22)

LCM = 10970252040/22

LCM = 498647820

Thus, we can understand that the LCM of 506,307,165,428 is 498647820.

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

• LCM of 744, 673, 404, 357
• LCM of 606, 574, 932, 436
• LCM of 190, 459, 132, 473
• LCM of 320, 496, 771, 282
• LCM of 278, 695, 423, 679

1. What is the LCM of 506, 307, 165, 428?

Answer: LCM of 506, 307, 165, 428 is 498647820.

2. How to calculate the LCM of 506, 307, 165, 428?

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 506, 307, 165, 428.

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}.