Given numbers are 338,343,115,672

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

The LCM of 338,343,115,672 is 639955680.

Find LCM of 338,343,115,672 with Prime Factorization

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

2 x 7 x 169 x 49 x 115 x 48 = 639955680

Therefore, the lowest common multiple of 338,343,115,672 is 639955680.

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.

338 x 343 x 115 x 672 = 8959379520

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.

338 : 1, 2, 13, 26, 169, 338

343 : 1, 7, 49, 343

115 : 1, 5, 23, 115

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,343,115,672, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

343:7x 7x 7

115:5x 23

672:2x 2x 2x 2x 2x 3x 7

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 8959379520/(1x14)

LCM = 8959379520/14

LCM = 639955680

Thus, we can understand that the LCM of 338,343,115,672 is 639955680.

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

• LCM of 268, 359, 470, 300
• LCM of 316, 410, 910, 879
• LCM of 541, 770, 768, 505
• LCM of 610, 605, 454, 304
• LCM of 251, 591, 123, 574

1. What is the LCM of 338, 343, 115, 672?

Answer: LCM of 338, 343, 115, 672 is 639955680.

2. How to calculate the LCM of 338, 343, 115, 672?

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 338, 343, 115, 672.

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}.