Given numbers are 19,34,51,374

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

The LCM of 19,34,51,374 is 21318.

Find LCM of 19,34,51,374 with Prime Factorization

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

2 x 17 x 19 x 1 x 3 x 11 = 21318

Therefore, the lowest common multiple of 19,34,51,374 is 21318.

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.

19 x 34 x 51 x 374 = 12321804

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.

19 : 1, 19

34 : 1, 2, 17, 34

51 : 1, 3, 17, 51

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 19,34,51,374, is 1.

Now, the common factors can be found like this.

19:19

34:2x 17

51:3x 17

374:2x 11x 17

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

2x 17x 17 = 578

Therefore, the value for common factors is 578.

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 = 12321804/(1x578)

LCM = 12321804/578

LCM = 21318

Thus, we can understand that the LCM of 19,34,51,374 is 21318.

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

• LCM of 18, 91, 34, 644
• LCM of 88, 57, 44, 334
• LCM of 96, 67, 40, 124
• LCM of 17, 85, 54, 591
• LCM of 70, 51, 66, 544

1. What is the LCM of 19, 34, 51, 374?

Answer: LCM of 19, 34, 51, 374 is 21318.

2. How to calculate the LCM of 19, 34, 51, 374?

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 19, 34, 51, 374.

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}.