Given numbers are 2024,5142

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

The LCM of 2024,5142 is 5203704.

Find LCM of 2024,5142 with Prime Factorization

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

2 x 1012 x 2571 = 5203704

Therefore, the lowest common multiple of 2024,5142 is 5203704.

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.

2024 x 5142 = 10407408

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.

2024 : 1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012, 2024

5142 : 1, 2, 3, 6, 857, 1714, 2571, 5142

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2024,5142, is 2.

Now, the common factors can be found like this.

2024:2x 2x 2x 11x 23

5142:2x 3x 857

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 = 10407408/(2x1)

LCM = 10407408/2

LCM = 5203704

Thus, we can understand that the LCM of 2024,5142 is 5203704.

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

• LCM of 1736, 8233
• LCM of 4143, 4195
• LCM of 1908, 5963
• LCM of 5571, 5849
• LCM of 7573, 1783

1. What is the LCM of 2024, 5142?

Answer: LCM of 2024, 5142 is 5203704.

2. How to calculate the LCM of 2024, 5142?

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 2024, 5142.

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}.