Given numbers are 1705,1738

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

The LCM of 1705,1738 is 269390.

Find LCM of 1705,1738 with Prime Factorization

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

11 x 155 x 158 = 269390

Therefore, the lowest common multiple of 1705,1738 is 269390.

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.

1705 x 1738 = 2963290

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.

1705 : 1, 5, 11, 31, 55, 155, 341, 1705

1738 : 1, 2, 11, 22, 79, 158, 869, 1738

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1705,1738, is 11.

Now, the common factors can be found like this.

1705:5x 11x 31

1738:2x 11x 79

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 = 2963290/(11x1)

LCM = 2963290/11

LCM = 269390

Thus, we can understand that the LCM of 1705,1738 is 269390.

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

• LCM of 8257, 1427
• LCM of 3832, 2193
• LCM of 2667, 4021
• LCM of 9199, 1147
• LCM of 3139, 4320

1. What is the LCM of 1705, 1738?

Answer: LCM of 1705, 1738 is 269390.

2. How to calculate the LCM of 1705, 1738?

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 1705, 1738.

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}.