Given numbers are 830,319,576,438

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

The LCM of 830,319,576,438 is 5566524480.

Find LCM of 830,319,576,438 with Prime Factorization

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

2 x 3 x 415 x 319 x 96 x 73 = 5566524480

Therefore, the lowest common multiple of 830,319,576,438 is 5566524480.

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.

830 x 319 x 576 x 438 = 66798293760

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.

830 : 1, 2, 5, 10, 83, 166, 415, 830

319 : 1, 11, 29, 319

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,319,576,438, is 1.

Now, the common factors can be found like this.

830:2x 5x 83

319:11x 29

576:2x 2x 2x 2x 2x 2x 3x 3

438:2x 3x 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 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 66798293760/(1x12)

LCM = 66798293760/12

LCM = 5566524480

Thus, we can understand that the LCM of 830,319,576,438 is 5566524480.

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

• LCM of 340, 580, 914, 106
• LCM of 462, 872, 139, 872
• LCM of 649, 197, 416, 446
• LCM of 933, 431, 332, 317
• LCM of 629, 450, 166, 387

1. What is the LCM of 830, 319, 576, 438?

Answer: LCM of 830, 319, 576, 438 is 5566524480.

2. How to calculate the LCM of 830, 319, 576, 438?

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 830, 319, 576, 438.

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}.