Given numbers are 77,31,34,93,217

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

The LCM of 77,31,34,93,217 is 243474.

Find LCM of 77,31,34,93,217 with Prime Factorization

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

7 x 31 x 11 x 1 x 34 x 3 x 1 = 243474

Therefore, the lowest common multiple of 77,31,34,93,217 is 243474.

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.

77 x 31 x 34 x 93 x 217 = 1637849598

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.

77 : 1, 7, 11, 77

31 : 1, 31

34 : 1, 2, 17, 34

93 : 1, 3, 31, 93

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 77,31,34,93,217, is 1.

Now, the common factors can be found like this.

77:7x 11

31:31

34:2x 17

93:3x 31

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.

7x 31x 31 = 6727

Therefore, the value for common factors is 6727.

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 = 1637849598/(1x6727)

LCM = 1637849598/6727

LCM = 243474

Thus, we can understand that the LCM of 77,31,34,93,217 is 243474.

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

• LCM of 89, 36, 79, 92, 788
• LCM of 99, 11, 51, 91, 523
• LCM of 10, 34, 32, 50, 779
• LCM of 40, 50, 59, 33, 595
• LCM of 29, 99, 82, 97, 360

1. What is the LCM of 77, 31, 34, 93, 217?

Answer: LCM of 77, 31, 34, 93, 217 is 243474.

2. How to calculate the LCM of 77, 31, 34, 93, 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 77, 31, 34, 93, 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}.