Given numbers are 128,749,217,342

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

The LCM of 128,749,217,342 is 508217472.

Find LCM of 128,749,217,342 with Prime Factorization

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

2 x 7 x 64 x 107 x 31 x 171 = 508217472

Therefore, the lowest common multiple of 128,749,217,342 is 508217472.

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.

128 x 749 x 217 x 342 = 7115044608

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.

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

749 : 1, 7, 107, 749

217 : 1, 7, 31, 217

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,749,217,342, is 1.

Now, the common factors can be found like this.

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

749:7x 107

217:7x 31

342:2x 3x 3x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 7115044608/(1x14)

LCM = 7115044608/14

LCM = 508217472

Thus, we can understand that the LCM of 128,749,217,342 is 508217472.

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

• LCM of 938, 442, 132, 729
• LCM of 916, 788, 728, 462
• LCM of 472, 589, 648, 582
• LCM of 414, 363, 671, 946
• LCM of 496, 428, 484, 292

1. What is the LCM of 128, 749, 217, 342?

Answer: LCM of 128, 749, 217, 342 is 508217472.

2. How to calculate the LCM of 128, 749, 217, 342?

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 128, 749, 217, 342.

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}.