Given numbers are 86,55,55,53,313

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

The LCM of 86,55,55,53,313 is 78465970.

Find LCM of 86,55,55,53,313 with Prime Factorization

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

5 x 11 x 86 x 1 x 1 x 53 x 313 = 78465970

Therefore, the lowest common multiple of 86,55,55,53,313 is 78465970.

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.

86 x 55 x 55 x 53 x 313 = 4315628350

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.

86 : 1, 2, 43, 86

55 : 1, 5, 11, 55

55 : 1, 5, 11, 55

53 : 1, 53

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 86,55,55,53,313, is 1.

Now, the common factors can be found like this.

86:2x 43

55:5x 11

55:5x 11

53:53

313:313

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

5x 11 = 55

Therefore, the value for common factors is 55.

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 = 4315628350/(1x55)

LCM = 4315628350/55

LCM = 78465970

Thus, we can understand that the LCM of 86,55,55,53,313 is 78465970.

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

• LCM of 82, 37, 25, 50, 407
• LCM of 12, 47, 43, 60, 262
• LCM of 64, 49, 93, 92, 360
• LCM of 19, 63, 73, 26, 133
• LCM of 46, 61, 78, 85, 988

1. What is the LCM of 86, 55, 55, 53, 313?

Answer: LCM of 86, 55, 55, 53, 313 is 78465970.

2. How to calculate the LCM of 86, 55, 55, 53, 313?

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 86, 55, 55, 53, 313.

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}.