Given numbers are 7684,3278

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

The LCM of 7684,3278 is 12594076.

Find LCM of 7684,3278 with Prime Factorization

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

2 x 3842 x 1639 = 12594076

Therefore, the lowest common multiple of 7684,3278 is 12594076.

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.

7684 x 3278 = 25188152

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.

7684 : 1, 2, 4, 17, 34, 68, 113, 226, 452, 1921, 3842, 7684

3278 : 1, 2, 11, 22, 149, 298, 1639, 3278

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7684,3278, is 2.

Now, the common factors can be found like this.

7684:2x 2x 17x 113

3278:2x 11x 149

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 = 25188152/(2x1)

LCM = 25188152/2

LCM = 12594076

Thus, we can understand that the LCM of 7684,3278 is 12594076.

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

• LCM of 5831, 4326
• LCM of 2464, 8510
• LCM of 1382, 5108
• LCM of 6851, 6205
• LCM of 7392, 3912

1. What is the LCM of 7684, 3278?

Answer: LCM of 7684, 3278 is 12594076.

2. How to calculate the LCM of 7684, 3278?

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 7684, 3278.

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}.