Given numbers are 79,38,19,65,409

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

The LCM of 79,38,19,65,409 is 79808170.

Find LCM of 79,38,19,65,409 with Prime Factorization

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

19 x 79 x 2 x 1 x 65 x 409 = 79808170

Therefore, the lowest common multiple of 79,38,19,65,409 is 79808170.

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.

79 x 38 x 19 x 65 x 409 = 1516355230

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.

79 : 1, 79

38 : 1, 2, 19, 38

19 : 1, 19

65 : 1, 5, 13, 65

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 79,38,19,65,409, is 1.

Now, the common factors can be found like this.

79:79

38:2x 19

19:19

65:5x 13

409:409

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

19 = 19

Therefore, the value for common factors is 19.

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 = 1516355230/(1x19)

LCM = 1516355230/19

LCM = 79808170

Thus, we can understand that the LCM of 79,38,19,65,409 is 79808170.

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

• LCM of 72, 94, 46, 93, 308
• LCM of 31, 30, 60, 71, 735
• LCM of 93, 63, 97, 36, 221
• LCM of 47, 73, 65, 88, 890
• LCM of 58, 99, 23, 66, 122

1. What is the LCM of 79, 38, 19, 65, 409?

Answer: LCM of 79, 38, 19, 65, 409 is 79808170.

2. How to calculate the LCM of 79, 38, 19, 65, 409?

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 79, 38, 19, 65, 409.

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}.