Given numbers are 374,11,742

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

The LCM of 374,11,742 is 138754.

Find LCM of 374,11,742 with Prime Factorization

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

2 x 11 x 17 x 1 x 371 = 138754

Therefore, the lowest common multiple of 374,11,742 is 138754.

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.

374 x 11 x 742 = 3052588

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.

374 : 1, 2, 11, 17, 22, 34, 187, 374

11 : 1, 11

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 374,11,742, is 1.

Now, the common factors can be found like this.

374:2x 11x 17

11:11

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 11 = 22

Therefore, the value for common factors is 22.

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 = 3052588/(1x22)

LCM = 3052588/22

LCM = 138754

Thus, we can understand that the LCM of 374,11,742 is 138754.

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

• LCM of 136, 65, 190
• LCM of 426, 42, 123
• LCM of 838, 65, 856
• LCM of 418, 16, 683
• LCM of 520, 14, 757

1. What is the LCM of 374, 11, 742?

Answer: LCM of 374, 11, 742 is 138754.

2. How to calculate the LCM of 374, 11, 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 374, 11, 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}.