Given numbers are 68,61,19,57,341

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

The LCM of 68,61,19,57,341 is 80624676.

Find LCM of 68,61,19,57,341 with Prime Factorization

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

19 x 68 x 61 x 1 x 3 x 341 = 80624676

Therefore, the lowest common multiple of 68,61,19,57,341 is 80624676.

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 61 x 19 x 57 x 341 = 1531868844

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

61 : 1, 61

19 : 1, 19

57 : 1, 3, 19, 57

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 68,61,19,57,341, is 1.

Now, the common factors can be found like this.

68:2x 2x 17

61:61

19:19

57:3x 19

341:11x 31

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 = 1531868844/(1x19)

LCM = 1531868844/19

LCM = 80624676

Thus, we can understand that the LCM of 68,61,19,57,341 is 80624676.

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

• LCM of 87, 36, 60, 90, 471
• LCM of 20, 16, 45, 63, 392
• LCM of 64, 59, 63, 68, 450
• LCM of 91, 85, 72, 66, 846
• LCM of 33, 70, 98, 53, 896

1. What is the LCM of 68, 61, 19, 57, 341?

Answer: LCM of 68, 61, 19, 57, 341 is 80624676.

2. How to calculate the LCM of 68, 61, 19, 57, 341?

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, 61, 19, 57, 341.

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}.