Given numbers are 260,388,338,224,398

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

The LCM of 260,388,338,224,398 is 3653671840.

Find LCM of 260,388,338,224,398 with Prime Factorization

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

2 x 2 x 13 x 5 x 97 x 13 x 56 x 199 = 3653671840

Therefore, the lowest common multiple of 260,388,338,224,398 is 3653671840.

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.

260 x 388 x 338 x 224 x 398 = 3039854970880

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.

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

388 : 1, 2, 4, 97, 194, 388

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

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

398 : 1, 2, 199, 398

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,388,338,224,398, is 2.

Now, the common factors can be found like this.

260:2x 2x 5x 13

388:2x 2x 97

338:2x 13x 13

224:2x 2x 2x 2x 2x 7

398:2x 199

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 2x 2x 2x 13 = 416

Therefore, the value for common factors is 416.

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 = 3039854970880/(2x416)

LCM = 3039854970880/832

LCM = 3653671840

Thus, we can understand that the LCM of 260,388,338,224,398 is 3653671840.

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

• LCM of 377, 544, 136, 315, 816
• LCM of 317, 941, 465, 974, 978
• LCM of 490, 675, 354, 568, 673
• LCM of 141, 337, 962, 855, 986
• LCM of 456, 686, 349, 208, 934

1. What is the LCM of 260, 388, 338, 224, 398?

Answer: LCM of 260, 388, 338, 224, 398 is 3653671840.

2. How to calculate the LCM of 260, 388, 338, 224, 398?

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 260, 388, 338, 224, 398.

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}.