Given numbers are 68,63,97,97,314

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

The LCM of 68,63,97,97,314 is 65241036.

Find LCM of 68,63,97,97,314 with Prime Factorization

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

2 x 97 x 34 x 63 x 1 x 1 x 157 = 65241036

Therefore, the lowest common multiple of 68,63,97,97,314 is 65241036.

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.

68 x 63 x 97 x 97 x 314 = 12656760984

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.

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

63 : 1, 3, 7, 9, 21, 63

97 : 1, 97

97 : 1, 97

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 68,63,97,97,314, is 1.

Now, the common factors can be found like this.

68:2x 2x 17

63:3x 3x 7

97:97

97:97

314:2x 157

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

2x 97 = 194

Therefore, the value for common factors is 194.

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 = 12656760984/(1x194)

LCM = 12656760984/194

LCM = 65241036

Thus, we can understand that the LCM of 68,63,97,97,314 is 65241036.

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

• LCM of 39, 78, 52, 53, 593
• LCM of 89, 23, 61, 29, 969
• LCM of 93, 99, 51, 66, 472
• LCM of 39, 36, 66, 39, 303
• LCM of 81, 50, 92, 14, 489

1. What is the LCM of 68, 63, 97, 97, 314?

Answer: LCM of 68, 63, 97, 97, 314 is 65241036.

2. How to calculate the LCM of 68, 63, 97, 97, 314?

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 68, 63, 97, 97, 314.

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}.