Given numbers are 7748,1678

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

The LCM of 7748,1678 is 6500572.

Find LCM of 7748,1678 with Prime Factorization

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

2 x 3874 x 839 = 6500572

Therefore, the lowest common multiple of 7748,1678 is 6500572.

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.

7748 x 1678 = 13001144

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.

7748 : 1, 2, 4, 13, 26, 52, 149, 298, 596, 1937, 3874, 7748

1678 : 1, 2, 839, 1678

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7748,1678, is 2.

Now, the common factors can be found like this.

7748:2x 2x 13x 149

1678:2x 839

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 = 13001144/(2x1)

LCM = 13001144/2

LCM = 6500572

Thus, we can understand that the LCM of 7748,1678 is 6500572.

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

• LCM of 8591, 7971
• LCM of 4316, 1006
• LCM of 3437, 2169
• LCM of 3514, 7141
• LCM of 3117, 2637

1. What is the LCM of 7748, 1678?

Answer: LCM of 7748, 1678 is 6500572.

2. How to calculate the LCM of 7748, 1678?

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 7748, 1678.

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}.