Given numbers are 57,56,742

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

The LCM of 57,56,742 is 169176.

Find LCM of 57,56,742 with Prime Factorization

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

2 x 7 x 57 x 4 x 53 = 169176

Therefore, the lowest common multiple of 57,56,742 is 169176.

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.

57 x 56 x 742 = 2368464

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.

57 : 1, 3, 19, 57

56 : 1, 2, 4, 7, 8, 14, 28, 56

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 57,56,742, is 1.

Now, the common factors can be found like this.

57:3x 19

56:2x 2x 2x 7

742:2x 7x 53

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 2368464/(1x14)

LCM = 2368464/14

LCM = 169176

Thus, we can understand that the LCM of 57,56,742 is 169176.

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

• LCM of 66, 88, 187
• LCM of 45, 16, 531
• LCM of 35, 98, 764
• LCM of 16, 54, 248
• LCM of 79, 19, 720

1. What is the LCM of 57, 56, 742?

Answer: LCM of 57, 56, 742 is 169176.

2. How to calculate the LCM of 57, 56, 742?

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 57, 56, 742.

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}.