Given numbers are 989,38,874

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

The LCM of 989,38,874 is 37582.

Find LCM of 989,38,874 with Prime Factorization

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

2 x 19 x 23 x 43 x 1 x 1 = 37582

Therefore, the lowest common multiple of 989,38,874 is 37582.

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.

989 x 38 x 874 = 32846668

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.

989 : 1, 23, 43, 989

38 : 1, 2, 19, 38

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 989,38,874, is 1.

Now, the common factors can be found like this.

989:23x 43

38:2x 19

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 19x 23 = 874

Therefore, the value for common factors is 874.

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 = 32846668/(1x874)

LCM = 32846668/874

LCM = 37582

Thus, we can understand that the LCM of 989,38,874 is 37582.

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

• LCM of 508, 74, 170
• LCM of 967, 51, 316
• LCM of 565, 63, 585
• LCM of 672, 84, 176
• LCM of 694, 52, 157

1. What is the LCM of 989, 38, 874?

Answer: LCM of 989, 38, 874 is 37582.

2. How to calculate the LCM of 989, 38, 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 989, 38, 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}.