Given numbers are 338,293,360,714

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

The LCM of 338,293,360,714 is 2121308280.

Find LCM of 338,293,360,714 with Prime Factorization

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

2 x 3 x 169 x 293 x 60 x 119 = 2121308280

Therefore, the lowest common multiple of 338,293,360,714 is 2121308280.

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 293 x 360 x 714 = 25455699360

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

293 : 1, 293

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,293,360,714, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

293:293

360:2x 2x 2x 3x 3x 5

714:2x 3x 7x 17

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 = 25455699360/(1x12)

LCM = 25455699360/12

LCM = 2121308280

Thus, we can understand that the LCM of 338,293,360,714 is 2121308280.

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

• LCM of 675, 121, 638, 607
• LCM of 374, 399, 178, 507
• LCM of 577, 373, 479, 738
• LCM of 242, 486, 259, 758
• LCM of 779, 781, 531, 241

1. What is the LCM of 338, 293, 360, 714?

Answer: LCM of 338, 293, 360, 714 is 2121308280.

2. How to calculate the LCM of 338, 293, 360, 714?

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, 293, 360, 714.

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}.