Given numbers are 97,65,39,51,438

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

The LCM of 97,65,39,51,438 is 46947030.

Find LCM of 97,65,39,51,438 with Prime Factorization

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

3 x 13 x 97 x 5 x 1 x 17 x 146 = 46947030

Therefore, the lowest common multiple of 97,65,39,51,438 is 46947030.

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.

97 x 65 x 39 x 51 x 438 = 5492802510

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.

97 : 1, 97

65 : 1, 5, 13, 65

39 : 1, 3, 13, 39

51 : 1, 3, 17, 51

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 97,65,39,51,438, is 1.

Now, the common factors can be found like this.

97:97

65:5x 13

39:3x 13

51:3x 17

438:2x 3x 73

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

3x 3x 13 = 117

Therefore, the value for common factors is 117.

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 = 5492802510/(1x117)

LCM = 5492802510/117

LCM = 46947030

Thus, we can understand that the LCM of 97,65,39,51,438 is 46947030.

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

• LCM of 36, 73, 56, 50, 351
• LCM of 31, 38, 56, 10, 330
• LCM of 63, 40, 40, 73, 478
• LCM of 52, 50, 51, 80, 113
• LCM of 64, 45, 80, 80, 914

1. What is the LCM of 97, 65, 39, 51, 438?

Answer: LCM of 97, 65, 39, 51, 438 is 46947030.

2. How to calculate the LCM of 97, 65, 39, 51, 438?

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 97, 65, 39, 51, 438.

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}.