Given numbers are 517,230,380,173

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

The LCM of 517,230,380,173 is 781714340.

Find LCM of 517,230,380,173 with Prime Factorization

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

2 x 5 x 517 x 23 x 38 x 173 = 781714340

Therefore, the lowest common multiple of 517,230,380,173 is 781714340.

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.

517 x 230 x 380 x 173 = 7817143400

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.

517 : 1, 11, 47, 517

230 : 1, 2, 5, 10, 23, 46, 115, 230

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

173 : 1, 173

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,230,380,173, is 1.

Now, the common factors can be found like this.

517:11x 47

230:2x 5x 23

380:2x 2x 5x 19

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 5 = 10

Therefore, the value for common factors is 10.

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 = 7817143400/(1x10)

LCM = 7817143400/10

LCM = 781714340

Thus, we can understand that the LCM of 517,230,380,173 is 781714340.

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

• LCM of 599, 641, 762, 411
• LCM of 572, 383, 868, 158
• LCM of 290, 240, 661, 947
• LCM of 444, 931, 921, 713
• LCM of 458, 458, 351, 906

1. What is the LCM of 517, 230, 380, 173?

Answer: LCM of 517, 230, 380, 173 is 781714340.

2. How to calculate the LCM of 517, 230, 380, 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 517, 230, 380, 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}.