Given numbers are 1408,7338

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

The LCM of 1408,7338 is 5165952.

Find LCM of 1408,7338 with Prime Factorization

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

2 x 704 x 3669 = 5165952

Therefore, the lowest common multiple of 1408,7338 is 5165952.

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.

1408 x 7338 = 10331904

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.

1408 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 352, 704, 1408

7338 : 1, 2, 3, 6, 1223, 2446, 3669, 7338

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1408,7338, is 2.

Now, the common factors can be found like this.

1408:2x 2x 2x 2x 2x 2x 2x 11

7338:2x 3x 1223

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 = 10331904/(2x1)

LCM = 10331904/2

LCM = 5165952

Thus, we can understand that the LCM of 1408,7338 is 5165952.

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

• LCM of 5924, 9708
• LCM of 5710, 2628
• LCM of 6573, 3864
• LCM of 7025, 6111
• LCM of 2370, 3542

1. What is the LCM of 1408, 7338?

Answer: LCM of 1408, 7338 is 5165952.

2. How to calculate the LCM of 1408, 7338?

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 1408, 7338.

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}.