Given numbers are 890,31,974

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

The LCM of 890,31,974 is 13436330.

Find LCM of 890,31,974 with Prime Factorization

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

2 x 445 x 31 x 487 = 13436330

Therefore, the lowest common multiple of 890,31,974 is 13436330.

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.

890 x 31 x 974 = 26872660

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.

890 : 1, 2, 5, 10, 89, 178, 445, 890

31 : 1, 31

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,31,974, is 1.

Now, the common factors can be found like this.

890:2x 5x 89

31:31

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 = 26872660/(1x2)

LCM = 26872660/2

LCM = 13436330

Thus, we can understand that the LCM of 890,31,974 is 13436330.

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

• LCM of 318, 78, 444
• LCM of 429, 13, 663
• LCM of 288, 39, 487
• LCM of 642, 57, 733
• LCM of 624, 25, 710

1. What is the LCM of 890, 31, 974?

Answer: LCM of 890, 31, 974 is 13436330.

2. How to calculate the LCM of 890, 31, 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 890, 31, 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}.