Given numbers are 319,517,490,146

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

The LCM of 319,517,490,146 is 536299610.

Find LCM of 319,517,490,146 with Prime Factorization

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

2 x 11 x 29 x 47 x 245 x 73 = 536299610

Therefore, the lowest common multiple of 319,517,490,146 is 536299610.

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.

319 x 517 x 490 x 146 = 11798591420

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.

319 : 1, 11, 29, 319

517 : 1, 11, 47, 517

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

146 : 1, 2, 73, 146

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,517,490,146, is 1.

Now, the common factors can be found like this.

319:11x 29

517:11x 47

490:2x 5x 7x 7

146:2x 73

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 = 11798591420/(1x22)

LCM = 11798591420/22

LCM = 536299610

Thus, we can understand that the LCM of 319,517,490,146 is 536299610.

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

• LCM of 567, 149, 198, 811
• LCM of 783, 424, 330, 571
• LCM of 563, 225, 977, 667
• LCM of 260, 646, 454, 601
• LCM of 896, 163, 199, 315

1. What is the LCM of 319, 517, 490, 146?

Answer: LCM of 319, 517, 490, 146 is 536299610.

2. How to calculate the LCM of 319, 517, 490, 146?

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 319, 517, 490, 146.

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}.