Given numbers are 425,756,128,363,678

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

The LCM of 425,756,128,363,678 is 140580316800.

Find LCM of 425,756,128,363,678 with Prime Factorization

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

2 x 2 x 3 x 425 x 63 x 32 x 121 x 113 = 140580316800

Therefore, the lowest common multiple of 425,756,128,363,678 is 140580316800.

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.

425 x 756 x 128 x 363 x 678 = 10121782809600

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.

425 : 1, 5, 17, 25, 85, 425

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

128 : 1, 2, 4, 8, 16, 32, 64, 128

363 : 1, 3, 11, 33, 121, 363

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 425,756,128,363,678, is 1.

Now, the common factors can be found like this.

425:5x 5x 17

756:2x 2x 3x 3x 3x 7

128:2x 2x 2x 2x 2x 2x 2

363:3x 11x 11

678:2x 3x 113

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 10121782809600/(1x72)

LCM = 10121782809600/72

LCM = 140580316800

Thus, we can understand that the LCM of 425,756,128,363,678 is 140580316800.

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

• LCM of 106, 929, 158, 124, 522
• LCM of 276, 150, 375, 620, 271
• LCM of 371, 132, 279, 266, 466
• LCM of 366, 588, 338, 138, 868
• LCM of 670, 438, 205, 792, 377

1. What is the LCM of 425, 756, 128, 363, 678?

Answer: LCM of 425, 756, 128, 363, 678 is 140580316800.

2. How to calculate the LCM of 425, 756, 128, 363, 678?

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 425, 756, 128, 363, 678.

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}.