Given numbers are 95,59,13,78,361

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

The LCM of 95,59,13,78,361 is 8306610.

Find LCM of 95,59,13,78,361 with Prime Factorization

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

13 x 19 x 5 x 59 x 1 x 6 x 19 = 8306610

Therefore, the lowest common multiple of 95,59,13,78,361 is 8306610.

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.

95 x 59 x 13 x 78 x 361 = 2051732670

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.

95 : 1, 5, 19, 95

59 : 1, 59

13 : 1, 13

78 : 1, 2, 3, 6, 13, 26, 39, 78

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 95,59,13,78,361, is 1.

Now, the common factors can be found like this.

95:5x 19

59:59

13:13

78:2x 3x 13

361:19x 19

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

13x 19 = 247

Therefore, the value for common factors is 247.

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 = 2051732670/(1x247)

LCM = 2051732670/247

LCM = 8306610

Thus, we can understand that the LCM of 95,59,13,78,361 is 8306610.

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

• LCM of 56, 84, 29, 60, 232
• LCM of 52, 84, 10, 95, 270
• LCM of 47, 33, 15, 91, 378
• LCM of 22, 49, 30, 60, 483
• LCM of 89, 40, 40, 69, 282

1. What is the LCM of 95, 59, 13, 78, 361?

Answer: LCM of 95, 59, 13, 78, 361 is 8306610.

2. How to calculate the LCM of 95, 59, 13, 78, 361?

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 95, 59, 13, 78, 361.

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}.