Given numbers are 78,58,47,23,517

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

The LCM of 78,58,47,23,517 is 26897442.

Find LCM of 78,58,47,23,517 with Prime Factorization

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

2 x 47 x 39 x 29 x 1 x 23 x 11 = 26897442

Therefore, the lowest common multiple of 78,58,47,23,517 is 26897442.

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.

78 x 58 x 47 x 23 x 517 = 2528359548

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.

78 : 1, 2, 3, 6, 13, 26, 39, 78

58 : 1, 2, 29, 58

47 : 1, 47

23 : 1, 23

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 78,58,47,23,517, is 1.

Now, the common factors can be found like this.

78:2x 3x 13

58:2x 29

47:47

23:23

517:11x 47

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

2x 47 = 94

Therefore, the value for common factors is 94.

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 = 2528359548/(1x94)

LCM = 2528359548/94

LCM = 26897442

Thus, we can understand that the LCM of 78,58,47,23,517 is 26897442.

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

• LCM of 38, 44, 59, 22, 489
• LCM of 43, 71, 77, 31, 645
• LCM of 42, 62, 45, 85, 570
• LCM of 47, 90, 38, 72, 118
• LCM of 10, 35, 70, 32, 325

1. What is the LCM of 78, 58, 47, 23, 517?

Answer: LCM of 78, 58, 47, 23, 517 is 26897442.

2. How to calculate the LCM of 78, 58, 47, 23, 517?

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 78, 58, 47, 23, 517.

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}.