Given numbers are 856,23,874

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

The LCM of 856,23,874 is 374072.

Find LCM of 856,23,874 with Prime Factorization

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

2 x 23 x 428 x 1 x 19 = 374072

Therefore, the lowest common multiple of 856,23,874 is 374072.

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.

856 x 23 x 874 = 17207312

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.

856 : 1, 2, 4, 8, 107, 214, 428, 856

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 856,23,874, is 1.

Now, the common factors can be found like this.

856:2x 2x 2x 107

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 = 17207312/(1x46)

LCM = 17207312/46

LCM = 374072

Thus, we can understand that the LCM of 856,23,874 is 374072.

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

• LCM of 168, 43, 442
• LCM of 132, 28, 566
• LCM of 666, 22, 383
• LCM of 842, 92, 658
• LCM of 227, 57, 505

1. What is the LCM of 856, 23, 874?

Answer: LCM of 856, 23, 874 is 374072.

2. How to calculate the LCM of 856, 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 856, 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}.