Given numbers are 37,38,29,68,505

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

The LCM of 37,38,29,68,505 is 700089580.

Find LCM of 37,38,29,68,505 with Prime Factorization

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

2 x 37 x 19 x 29 x 34 x 505 = 700089580

Therefore, the lowest common multiple of 37,38,29,68,505 is 700089580.

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.

37 x 38 x 29 x 68 x 505 = 1400179160

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.

37 : 1, 37

38 : 1, 2, 19, 38

29 : 1, 29

68 : 1, 2, 4, 17, 34, 68

505 : 1, 5, 101, 505

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 37,38,29,68,505, is 1.

Now, the common factors can be found like this.

37:37

38:2x 19

29:29

68:2x 2x 17

505:5x 101

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

2 = 2

Therefore, the value for common factors is 2.

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 = 1400179160/(1x2)

LCM = 1400179160/2

LCM = 700089580

Thus, we can understand that the LCM of 37,38,29,68,505 is 700089580.

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

• LCM of 75, 13, 48, 45, 326
• LCM of 33, 53, 34, 75, 322
• LCM of 55, 21, 67, 45, 281
• LCM of 22, 34, 45, 78, 237
• LCM of 29, 73, 24, 77, 943

1. What is the LCM of 37, 38, 29, 68, 505?

Answer: LCM of 37, 38, 29, 68, 505 is 700089580.

2. How to calculate the LCM of 37, 38, 29, 68, 505?

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 37, 38, 29, 68, 505.

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}.