Given numbers are 85,11,48,37,407

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

The LCM of 85,11,48,37,407 is 1660560.

Find LCM of 85,11,48,37,407 with Prime Factorization

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

11 x 37 x 85 x 1 x 48 x 1 x 1 = 1660560

Therefore, the lowest common multiple of 85,11,48,37,407 is 1660560.

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.

85 x 11 x 48 x 37 x 407 = 675847920

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.

85 : 1, 5, 17, 85

11 : 1, 11

48 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

37 : 1, 37

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 85,11,48,37,407, is 1.

Now, the common factors can be found like this.

85:5x 17

11:11

48:2x 2x 2x 2x 3

37:37

407:11x 37

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

11x 37 = 407

Therefore, the value for common factors is 407.

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 = 675847920/(1x407)

LCM = 675847920/407

LCM = 1660560

Thus, we can understand that the LCM of 85,11,48,37,407 is 1660560.

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

• LCM of 67, 52, 80, 38, 820
• LCM of 40, 87, 86, 82, 821
• LCM of 32, 57, 36, 54, 845
• LCM of 28, 77, 24, 39, 104
• LCM of 61, 59, 32, 77, 876

1. What is the LCM of 85, 11, 48, 37, 407?

Answer: LCM of 85, 11, 48, 37, 407 is 1660560.

2. How to calculate the LCM of 85, 11, 48, 37, 407?

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 85, 11, 48, 37, 407.

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}.