Given numbers are 891,380,974

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

The LCM of 891,380,974 is 164888460.

Find LCM of 891,380,974 with Prime Factorization

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

2 x 891 x 190 x 487 = 164888460

Therefore, the lowest common multiple of 891,380,974 is 164888460.

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.

891 x 380 x 974 = 329776920

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.

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,380,974, is 1.

Now, the common factors can be found like this.

891:3x 3x 3x 3x 11

380:2x 2x 5x 19

974:2x 487

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

2 = 2

Therefore, the value for common factors is 2.

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 = 329776920/(1x2)

LCM = 329776920/2

LCM = 164888460

Thus, we can understand that the LCM of 891,380,974 is 164888460.

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

• LCM of 927, 380, 331
• LCM of 363, 518, 901
• LCM of 521, 773, 752
• LCM of 292, 720, 307
• LCM of 314, 730, 580

1. What is the LCM of 891, 380, 974?

Answer: LCM of 891, 380, 974 is 164888460.

2. How to calculate the LCM of 891, 380, 974?

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 891, 380, 974.

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}.