Given numbers are 378,338,598,718,728

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

The LCM of 378,338,598,718,728 is 2109894696.

Find LCM of 378,338,598,718,728 with Prime Factorization

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

2 x 7 x 13 x 27 x 13 x 23 x 359 x 4 = 2109894696

Therefore, the lowest common multiple of 378,338,598,718,728 is 2109894696.

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.

378 x 338 x 598 x 718 x 728 = 39936086805888

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.

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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

598 : 1, 2, 13, 23, 26, 46, 299, 598

718 : 1, 2, 359, 718

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,338,598,718,728, is 2.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

338:2x 13x 13

598:2x 13x 23

718:2x 359

728:2x 2x 2x 7x 13

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 7x 13x 13 = 9464

Therefore, the value for common factors is 9464.

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 = 39936086805888/(2x9464)

LCM = 39936086805888/18928

LCM = 2109894696

Thus, we can understand that the LCM of 378,338,598,718,728 is 2109894696.

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

• LCM of 260, 268, 788, 100, 659
• LCM of 210, 598, 336, 754, 626
• LCM of 306, 827, 637, 160, 690
• LCM of 462, 145, 156, 500, 882
• LCM of 399, 940, 579, 692, 912

1. What is the LCM of 378, 338, 598, 718, 728?

Answer: LCM of 378, 338, 598, 718, 728 is 2109894696.

2. How to calculate the LCM of 378, 338, 598, 718, 728?

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 378, 338, 598, 718, 728.

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}.