Given numbers are 424,23,874

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

The LCM of 424,23,874 is 185288.

Find LCM of 424,23,874 with Prime Factorization

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

2 x 23 x 212 x 1 x 19 = 185288

Therefore, the lowest common multiple of 424,23,874 is 185288.

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.

424 x 23 x 874 = 8523248

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.

424 : 1, 2, 4, 8, 53, 106, 212, 424

23 : 1, 23

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 424,23,874, is 1.

Now, the common factors can be found like this.

424:2x 2x 2x 53

23:23

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 23 = 46

Therefore, the value for common factors is 46.

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 = 8523248/(1x46)

LCM = 8523248/46

LCM = 185288

Thus, we can understand that the LCM of 424,23,874 is 185288.

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

• LCM of 664, 74, 996
• LCM of 495, 32, 176
• LCM of 181, 41, 918
• LCM of 225, 58, 959
• LCM of 454, 78, 962

1. What is the LCM of 424, 23, 874?

Answer: LCM of 424, 23, 874 is 185288.

2. How to calculate the LCM of 424, 23, 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 424, 23, 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}.