Given numbers are 376,664,268,854,648

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

The LCM of 376,664,268,854,648 is 72319203432.

Find LCM of 376,664,268,854,648 with Prime Factorization

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

2 x 2 x 2 x 47 x 83 x 67 x 427 x 81 = 72319203432

Therefore, the lowest common multiple of 376,664,268,854,648 is 72319203432.

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.

376 x 664 x 268 x 854 x 648 = 37027432157184

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.

376 : 1, 2, 4, 8, 47, 94, 188, 376

664 : 1, 2, 4, 8, 83, 166, 332, 664

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

854 : 1, 2, 7, 14, 61, 122, 427, 854

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,664,268,854,648, is 2.

Now, the common factors can be found like this.

376:2x 2x 2x 47

664:2x 2x 2x 83

268:2x 2x 67

854:2x 7x 61

648:2x 2x 2x 3x 3x 3x 3

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 2x 2x 2 = 256

Therefore, the value for common factors is 256.

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 = 37027432157184/(2x256)

LCM = 37027432157184/512

LCM = 72319203432

Thus, we can understand that the LCM of 376,664,268,854,648 is 72319203432.

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

• LCM of 588, 611, 454, 746, 864
• LCM of 281, 738, 679, 793, 316
• LCM of 530, 562, 588, 156, 894
• LCM of 874, 296, 160, 397, 690
• LCM of 545, 195, 388, 817, 745

1. What is the LCM of 376, 664, 268, 854, 648?

Answer: LCM of 376, 664, 268, 854, 648 is 72319203432.

2. How to calculate the LCM of 376, 664, 268, 854, 648?

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 376, 664, 268, 854, 648.

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}.