Given numbers are 414,339,132,829

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

The LCM of 414,339,132,829 is 853210116.

Find LCM of 414,339,132,829 with Prime Factorization

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

2 x 3 x 69 x 113 x 22 x 829 = 853210116

Therefore, the lowest common multiple of 414,339,132,829 is 853210116.

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.

414 x 339 x 132 x 829 = 15357782088

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

339 : 1, 3, 113, 339

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,339,132,829, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

339:3x 113

132:2x 2x 3x 11

829:829

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 15357782088/(1x18)

LCM = 15357782088/18

LCM = 853210116

Thus, we can understand that the LCM of 414,339,132,829 is 853210116.

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

• LCM of 220, 375, 217, 497
• LCM of 439, 340, 154, 611
• LCM of 287, 340, 719, 170
• LCM of 580, 490, 120, 248
• LCM of 345, 275, 275, 376

1. What is the LCM of 414, 339, 132, 829?

Answer: LCM of 414, 339, 132, 829 is 853210116.

2. How to calculate the LCM of 414, 339, 132, 829?

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 414, 339, 132, 829.

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}.