Given numbers are 830,234,506

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

The LCM of 830,234,506 is 24568830.

Find LCM of 830,234,506 with Prime Factorization

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

2 x 415 x 117 x 253 = 24568830

Therefore, the lowest common multiple of 830,234,506 is 24568830.

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 234 x 506 = 98275320

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

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,234,506, is 2.

Now, the common factors can be found like this.

830:2x 5x 83

234:2x 3x 3x 13

506:2x 11x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 98275320/(2x2)

LCM = 98275320/4

LCM = 24568830

Thus, we can understand that the LCM of 830,234,506 is 24568830.

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

• LCM of 312, 455, 200
• LCM of 261, 149, 810
• LCM of 197, 299, 474
• LCM of 953, 853, 280
• LCM of 978, 662, 964

1. What is the LCM of 830, 234, 506?

Answer: LCM of 830, 234, 506 is 24568830.

2. How to calculate the LCM of 830, 234, 506?

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, 234, 506.

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}.