Given numbers are 378,536,988,328

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

The LCM of 378,536,988,328 is 1025905608.

Find LCM of 378,536,988,328 with Prime Factorization

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

2 x 2 x 2 x 189 x 67 x 247 x 41 = 1025905608

Therefore, the lowest common multiple of 378,536,988,328 is 1025905608.

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 536 x 988 x 328 = 65657958912

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

536 : 1, 2, 4, 8, 67, 134, 268, 536

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

328 : 1, 2, 4, 8, 41, 82, 164, 328

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,536,988,328, is 2.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

536:2x 2x 2x 67

988:2x 2x 13x 19

328:2x 2x 2x 41

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 2 = 32

Therefore, the value for common factors is 32.

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 = 65657958912/(2x32)

LCM = 65657958912/64

LCM = 1025905608

Thus, we can understand that the LCM of 378,536,988,328 is 1025905608.

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

• LCM of 457, 487, 536, 578
• LCM of 192, 429, 657, 897
• LCM of 613, 280, 546, 920
• LCM of 758, 649, 902, 176
• LCM of 627, 564, 762, 342

1. What is the LCM of 378, 536, 988, 328?

Answer: LCM of 378, 536, 988, 328 is 1025905608.

2. How to calculate the LCM of 378, 536, 988, 328?

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, 536, 988, 328.

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}.