Given numbers are 596,749,214,173

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

The LCM of 596,749,214,173 is 77227892.

Find LCM of 596,749,214,173 with Prime Factorization

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

2 x 107 x 298 x 7 x 1 x 173 = 77227892

Therefore, the lowest common multiple of 596,749,214,173 is 77227892.

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.

596 x 749 x 214 x 173 = 16526768888

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.

596 : 1, 2, 4, 149, 298, 596

749 : 1, 7, 107, 749

214 : 1, 2, 107, 214

173 : 1, 173

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,749,214,173, is 1.

Now, the common factors can be found like this.

596:2x 2x 149

749:7x 107

214:2x 107

173:173

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 16526768888/(1x214)

LCM = 16526768888/214

LCM = 77227892

Thus, we can understand that the LCM of 596,749,214,173 is 77227892.

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

• LCM of 109, 538, 626, 492
• LCM of 331, 980, 365, 349
• LCM of 648, 816, 872, 454
• LCM of 463, 207, 558, 981
• LCM of 819, 740, 577, 870

1. What is the LCM of 596, 749, 214, 173?

Answer: LCM of 596, 749, 214, 173 is 77227892.

2. How to calculate the LCM of 596, 749, 214, 173?

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 596, 749, 214, 173.

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}.