Given numbers are 169,310,382,217

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

The LCM of 169,310,382,217 is 70045430.

Find LCM of 169,310,382,217 with Prime Factorization

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

2 x 31 x 169 x 5 x 191 x 7 = 70045430

Therefore, the lowest common multiple of 169,310,382,217 is 70045430.

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.

169 x 310 x 382 x 217 = 4342816660

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.

169 : 1, 13, 169

310 : 1, 2, 5, 10, 31, 62, 155, 310

382 : 1, 2, 191, 382

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,310,382,217, is 1.

Now, the common factors can be found like this.

169:13x 13

310:2x 5x 31

382:2x 191

217:7x 31

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

2x 31 = 62

Therefore, the value for common factors is 62.

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 = 4342816660/(1x62)

LCM = 4342816660/62

LCM = 70045430

Thus, we can understand that the LCM of 169,310,382,217 is 70045430.

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

• LCM of 183, 719, 562, 380
• LCM of 938, 763, 635, 221
• LCM of 849, 480, 852, 100
• LCM of 999, 971, 415, 911
• LCM of 136, 923, 731, 871

1. What is the LCM of 169, 310, 382, 217?

Answer: LCM of 169, 310, 382, 217 is 70045430.

2. How to calculate the LCM of 169, 310, 382, 217?

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 169, 310, 382, 217.

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}.