Given numbers are 328,226,678,971

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

The LCM of 328,226,678,971 is 107967432.

Find LCM of 328,226,678,971 with Prime Factorization

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

2 x 113 x 164 x 1 x 3 x 971 = 107967432

Therefore, the lowest common multiple of 328,226,678,971 is 107967432.

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.

328 x 226 x 678 x 971 = 48801279264

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.

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

226 : 1, 2, 113, 226

678 : 1, 2, 3, 6, 113, 226, 339, 678

971 : 1, 971

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,226,678,971, is 1.

Now, the common factors can be found like this.

328:2x 2x 2x 41

226:2x 113

678:2x 3x 113

971:971

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 113 = 452

Therefore, the value for common factors is 452.

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 = 48801279264/(1x452)

LCM = 48801279264/452

LCM = 107967432

Thus, we can understand that the LCM of 328,226,678,971 is 107967432.

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

• LCM of 514, 673, 522, 863
• LCM of 450, 262, 903, 674
• LCM of 594, 281, 521, 367
• LCM of 244, 795, 957, 360
• LCM of 651, 333, 438, 151

1. What is the LCM of 328, 226, 678, 971?

Answer: LCM of 328, 226, 678, 971 is 107967432.

2. How to calculate the LCM of 328, 226, 678, 971?

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 328, 226, 678, 971.

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}.