Given numbers are 5730,1146

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

The LCM of 5730,1146 is 5730.

Find LCM of 5730,1146 with Prime Factorization

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

2 x 3 x 191 x 5 x 1 = 5730

Therefore, the lowest common multiple of 5730,1146 is 5730.

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.

5730 x 1146 = 6566580

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.

5730 : 1, 2, 3, 5, 6, 10, 15, 30, 191, 382, 573, 955, 1146, 1910, 2865, 5730

1146 : 1, 2, 3, 6, 191, 382, 573, 1146

1146 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5730,1146, is 1146.

Now, the common factors can be found like this.

5730:2x 3x 5x 191

1146:2x 3x 191

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 = 6566580/(1146x1)

LCM = 6566580/1146

LCM = 5730

Thus, we can understand that the LCM of 5730,1146 is 5730.

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

• LCM of 4296, 2476
• LCM of 1483, 6144
• LCM of 8415, 2622
• LCM of 9771, 2561
• LCM of 1173, 7556

1. What is the LCM of 5730, 1146?

Answer: LCM of 5730, 1146 is 5730.

2. How to calculate the LCM of 5730, 1146?

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 5730, 1146.

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}.