Given numbers are 17,19,57,57,701

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

The LCM of 17,19,57,57,701 is 679269.

Find LCM of 17,19,57,57,701 with Prime Factorization

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

3 x 19 x 17 x 1 x 1 x 1 x 701 = 679269

Therefore, the lowest common multiple of 17,19,57,57,701 is 679269.

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.

17 x 19 x 57 x 57 x 701 = 735648327

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.

17 : 1, 17

19 : 1, 19

57 : 1, 3, 19, 57

57 : 1, 3, 19, 57

701 : 1, 701

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 17,19,57,57,701, is 1.

Now, the common factors can be found like this.

17:17

19:19

57:3x 19

57:3x 19

701:701

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

3x 19x 19 = 1083

Therefore, the value for common factors is 1083.

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 = 735648327/(1x1083)

LCM = 735648327/1083

LCM = 679269

Thus, we can understand that the LCM of 17,19,57,57,701 is 679269.

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

• LCM of 34, 58, 44, 45, 902
• LCM of 72, 84, 11, 53, 500
• LCM of 80, 21, 86, 57, 694
• LCM of 24, 30, 64, 75, 498
• LCM of 18, 10, 90, 68, 803

1. What is the LCM of 17, 19, 57, 57, 701?

Answer: LCM of 17, 19, 57, 57, 701 is 679269.

2. How to calculate the LCM of 17, 19, 57, 57, 701?

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 17, 19, 57, 57, 701.

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}.