Given numbers are 364,173,519,745

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

The LCM of 364,173,519,745 is 140742420.

Find LCM of 364,173,519,745 with Prime Factorization

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

173 x 364 x 1 x 3 x 745 = 140742420

Therefore, the lowest common multiple of 364,173,519,745 is 140742420.

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.

364 x 173 x 519 x 745 = 24348438660

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

173 : 1, 173

519 : 1, 3, 173, 519

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,173,519,745, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

173:173

519:3x 173

745:5x 149

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

173 = 173

Therefore, the value for common factors is 173.

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 = 24348438660/(1x173)

LCM = 24348438660/173

LCM = 140742420

Thus, we can understand that the LCM of 364,173,519,745 is 140742420.

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

• LCM of 435, 484, 664, 776
• LCM of 548, 434, 836, 698
• LCM of 273, 392, 782, 600
• LCM of 969, 125, 255, 229
• LCM of 105, 372, 207, 125

1. What is the LCM of 364, 173, 519, 745?

Answer: LCM of 364, 173, 519, 745 is 140742420.

2. How to calculate the LCM of 364, 173, 519, 745?

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 364, 173, 519, 745.

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}.