Given numbers are 5705,7130

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

The LCM of 5705,7130 is 8135330.

Find LCM of 5705,7130 with Prime Factorization

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

5 x 1141 x 1426 = 8135330

Therefore, the lowest common multiple of 5705,7130 is 8135330.

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.

5705 x 7130 = 40676650

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.

5705 : 1, 5, 7, 35, 163, 815, 1141, 5705

7130 : 1, 2, 5, 10, 23, 31, 46, 62, 115, 155, 230, 310, 713, 1426, 3565, 7130

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5705,7130, is 5.

Now, the common factors can be found like this.

5705:5x 7x 163

7130:2x 5x 23x 31

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 = 40676650/(5x1)

LCM = 40676650/5

LCM = 8135330

Thus, we can understand that the LCM of 5705,7130 is 8135330.

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

• LCM of 8384, 2549
• LCM of 4572, 7715
• LCM of 3052, 4213
• LCM of 4660, 5255
• LCM of 1044, 7372

1. What is the LCM of 5705, 7130?

Answer: LCM of 5705, 7130 is 8135330.

2. How to calculate the LCM of 5705, 7130?

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 5705, 7130.

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}.