Given numbers are 5892,1461

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

The LCM of 5892,1461 is 2869404.

Find LCM of 5892,1461 with Prime Factorization

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

3 x 1964 x 487 = 2869404

Therefore, the lowest common multiple of 5892,1461 is 2869404.

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.

5892 x 1461 = 8608212

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.

5892 : 1, 2, 3, 4, 6, 12, 491, 982, 1473, 1964, 2946, 5892

1461 : 1, 3, 487, 1461

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5892,1461, is 3.

Now, the common factors can be found like this.

5892:2x 2x 3x 491

1461:3x 487

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 = 8608212/(3x1)

LCM = 8608212/3

LCM = 2869404

Thus, we can understand that the LCM of 5892,1461 is 2869404.

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

• LCM of 3436, 3696
• LCM of 7410, 7233
• LCM of 5612, 8976
• LCM of 4141, 5622
• LCM of 4584, 1597

1. What is the LCM of 5892, 1461?

Answer: LCM of 5892, 1461 is 2869404.

2. How to calculate the LCM of 5892, 1461?

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 5892, 1461.

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}.