Given numbers are 506,458,235,319

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

The LCM of 506,458,235,319 is 789681310.

Find LCM of 506,458,235,319 with Prime Factorization

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

2 x 11 x 23 x 229 x 235 x 29 = 789681310

Therefore, the lowest common multiple of 506,458,235,319 is 789681310.

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 458 x 235 x 319 = 17372988820

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

458 : 1, 2, 229, 458

235 : 1, 5, 47, 235

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,458,235,319, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

458:2x 229

235:5x 47

319:11x 29

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 = 17372988820/(1x22)

LCM = 17372988820/22

LCM = 789681310

Thus, we can understand that the LCM of 506,458,235,319 is 789681310.

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

• LCM of 724, 730, 522, 723
• LCM of 907, 181, 850, 412
• LCM of 746, 389, 271, 941
• LCM of 556, 948, 698, 858
• LCM of 651, 284, 227, 665

1. What is the LCM of 506, 458, 235, 319?

Answer: LCM of 506, 458, 235, 319 is 789681310.

2. How to calculate the LCM of 506, 458, 235, 319?

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, 458, 235, 319.

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}.