Given numbers are 66,57,874

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

The LCM of 66,57,874 is 28842.

Find LCM of 66,57,874 with Prime Factorization

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

2 x 3 x 19 x 11 x 1 x 23 = 28842

Therefore, the lowest common multiple of 66,57,874 is 28842.

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.

66 x 57 x 874 = 3287988

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.

66 : 1, 2, 3, 6, 11, 22, 33, 66

57 : 1, 3, 19, 57

874 : 1, 2, 19, 23, 38, 46, 437, 874

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 66,57,874, is 1.

Now, the common factors can be found like this.

66:2x 3x 11

57:3x 19

874:2x 19x 23

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

2x 3x 19 = 114

Therefore, the value for common factors is 114.

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 = 3287988/(1x114)

LCM = 3287988/114

LCM = 28842

Thus, we can understand that the LCM of 66,57,874 is 28842.

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

• LCM of 59, 95, 391
• LCM of 85, 47, 497
• LCM of 74, 58, 763
• LCM of 93, 16, 713
• LCM of 77, 98, 653

1. What is the LCM of 66, 57, 874?

Answer: LCM of 66, 57, 874 is 28842.

2. How to calculate the LCM of 66, 57, 874?

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 66, 57, 874.

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}.