Given numbers are 3756,5978

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

The LCM of 3756,5978 is 11226684.

Find LCM of 3756,5978 with Prime Factorization

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

2 x 1878 x 2989 = 11226684

Therefore, the lowest common multiple of 3756,5978 is 11226684.

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.

3756 x 5978 = 22453368

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.

3756 : 1, 2, 3, 4, 6, 12, 313, 626, 939, 1252, 1878, 3756

5978 : 1, 2, 7, 14, 49, 61, 98, 122, 427, 854, 2989, 5978

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3756,5978, is 2.

Now, the common factors can be found like this.

3756:2x 2x 3x 313

5978:2x 7x 7x 61

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 = 22453368/(2x1)

LCM = 22453368/2

LCM = 11226684

Thus, we can understand that the LCM of 3756,5978 is 11226684.

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

• LCM of 8197, 8586
• LCM of 6397, 8313
• LCM of 6606, 3918
• LCM of 3677, 7550
• LCM of 6565, 4736

1. What is the LCM of 3756, 5978?

Answer: LCM of 3756, 5978 is 11226684.

2. How to calculate the LCM of 3756, 5978?

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 3756, 5978.

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}.