Given numbers are 329,115,514,380

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

The LCM of 329,115,514,380 is 738993220.

Find LCM of 329,115,514,380 with Prime Factorization

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

2 x 5 x 329 x 23 x 257 x 38 = 738993220

Therefore, the lowest common multiple of 329,115,514,380 is 738993220.

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.

329 x 115 x 514 x 380 = 7389932200

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.

329 : 1, 7, 47, 329

115 : 1, 5, 23, 115

514 : 1, 2, 257, 514

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,115,514,380, is 1.

Now, the common factors can be found like this.

329:7x 47

115:5x 23

514:2x 257

380:2x 2x 5x 19

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 7389932200/(1x10)

LCM = 7389932200/10

LCM = 738993220

Thus, we can understand that the LCM of 329,115,514,380 is 738993220.

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

• LCM of 771, 166, 728, 721
• LCM of 890, 212, 441, 132
• LCM of 533, 438, 311, 428
• LCM of 637, 812, 653, 859
• LCM of 582, 834, 140, 861

1. What is the LCM of 329, 115, 514, 380?

Answer: LCM of 329, 115, 514, 380 is 738993220.

2. How to calculate the LCM of 329, 115, 514, 380?

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 329, 115, 514, 380.

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}.