Given numbers are 8974,4114

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

The LCM of 8974,4114 is 18459518.

Find LCM of 8974,4114 with Prime Factorization

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

2 x 4487 x 2057 = 18459518

Therefore, the lowest common multiple of 8974,4114 is 18459518.

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.

8974 x 4114 = 36919036

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.

8974 : 1, 2, 7, 14, 641, 1282, 4487, 8974

4114 : 1, 2, 11, 17, 22, 34, 121, 187, 242, 374, 2057, 4114

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8974,4114, is 2.

Now, the common factors can be found like this.

8974:2x 7x 641

4114:2x 11x 11x 17

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

= 1

Therefore, the value for common factors is 1.

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 = 36919036/(2x1)

LCM = 36919036/2

LCM = 18459518

Thus, we can understand that the LCM of 8974,4114 is 18459518.

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

• LCM of 1483, 7309
• LCM of 7213, 8729
• LCM of 5036, 4205
• LCM of 1026, 8461
• LCM of 1030, 9694

1. What is the LCM of 8974, 4114?

Answer: LCM of 8974, 4114 is 18459518.

2. How to calculate the LCM of 8974, 4114?

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 8974, 4114.

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}.