Given numbers are 576,307,842

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

The LCM of 576,307,842 is 74446272.

Find LCM of 576,307,842 with Prime Factorization

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

2 x 288 x 307 x 421 = 74446272

Therefore, the lowest common multiple of 576,307,842 is 74446272.

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.

576 x 307 x 842 = 148892544

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.

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

307 : 1, 307

842 : 1, 2, 421, 842

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,307,842, is 1.

Now, the common factors can be found like this.

576:2x 2x 2x 2x 2x 2x 3x 3

307:307

842:2x 421

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 148892544/(1x2)

LCM = 148892544/2

LCM = 74446272

Thus, we can understand that the LCM of 576,307,842 is 74446272.

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

• LCM of 381, 737, 889
• LCM of 679, 273, 678
• LCM of 210, 272, 167
• LCM of 563, 109, 883
• LCM of 859, 630, 422

1. What is the LCM of 576, 307, 842?

Answer: LCM of 576, 307, 842 is 74446272.

2. How to calculate the LCM of 576, 307, 842?

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 576, 307, 842.

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}.