Given numbers are 7214,8974

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

The LCM of 7214,8974 is 32369218.

Find LCM of 7214,8974 with Prime Factorization

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

2 x 3607 x 4487 = 32369218

Therefore, the lowest common multiple of 7214,8974 is 32369218.

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.

7214 x 8974 = 64738436

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.

7214 : 1, 2, 3607, 7214

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7214,8974, is 2.

Now, the common factors can be found like this.

7214:2x 3607

8974:2x 7x 641

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 = 64738436/(2x1)

LCM = 64738436/2

LCM = 32369218

Thus, we can understand that the LCM of 7214,8974 is 32369218.

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

• LCM of 4245, 8151
• LCM of 2045, 6937
• LCM of 3602, 6640
• LCM of 7467, 1373
• LCM of 6891, 8316

1. What is the LCM of 7214, 8974?

Answer: LCM of 7214, 8974 is 32369218.

2. How to calculate the LCM of 7214, 8974?

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 7214, 8974.

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}.