Given numbers are 27,40,71,735

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

The LCM of 27,40,71,735 is 3757320.

Find LCM of 27,40,71,735 with Prime Factorization

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

3 x 5 x 9 x 8 x 71 x 49 = 3757320

Therefore, the lowest common multiple of 27,40,71,735 is 3757320.

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.

27 x 40 x 71 x 735 = 56359800

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.

27 : 1, 3, 9, 27

40 : 1, 2, 4, 5, 8, 10, 20, 40

71 : 1, 71

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 27,40,71,735, is 1.

Now, the common factors can be found like this.

27:3x 3x 3

40:2x 2x 2x 5

71:71

735:3x 5x 7x 7

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 56359800/(1x15)

LCM = 56359800/15

LCM = 3757320

Thus, we can understand that the LCM of 27,40,71,735 is 3757320.

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

• LCM of 89, 62, 47, 501
• LCM of 71, 50, 41, 436
• LCM of 69, 43, 30, 444
• LCM of 64, 41, 61, 613
• LCM of 86, 53, 98, 191

1. What is the LCM of 27, 40, 71, 735?

Answer: LCM of 27, 40, 71, 735 is 3757320.

2. How to calculate the LCM of 27, 40, 71, 735?

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 27, 40, 71, 735.

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}.