Given numbers are 7456,5825

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

The LCM of 7456,5825 is 186400.

Find LCM of 7456,5825 with Prime Factorization

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

233 x 32 x 25 = 186400

Therefore, the lowest common multiple of 7456,5825 is 186400.

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.

7456 x 5825 = 43431200

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.

7456 : 1, 2, 4, 8, 16, 32, 233, 466, 932, 1864, 3728, 7456

5825 : 1, 5, 25, 233, 1165, 5825

233 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7456,5825, is 233.

Now, the common factors can be found like this.

7456:2x 2x 2x 2x 2x 233

5825:5x 5x 233

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 = 43431200/(233x1)

LCM = 43431200/233

LCM = 186400

Thus, we can understand that the LCM of 7456,5825 is 186400.

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

• LCM of 3948, 1542
• LCM of 2949, 3569
• LCM of 3704, 3767
• LCM of 1208, 1011
• LCM of 2418, 4909

1. What is the LCM of 7456, 5825?

Answer: LCM of 7456, 5825 is 186400.

2. How to calculate the LCM of 7456, 5825?

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 7456, 5825.

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}.