Given numbers are 576,194,749,431,414

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

The LCM of 576,194,749,431,414 is 414840492864.

Find LCM of 576,194,749,431,414 with Prime Factorization

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

2 x 3 x 3 x 32 x 97 x 749 x 431 x 23 = 414840492864

Therefore, the lowest common multiple of 576,194,749,431,414 is 414840492864.

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 194 x 749 x 431 x 414 = 14934257743104

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

194 : 1, 2, 97, 194

749 : 1, 7, 107, 749

431 : 1, 431

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,194,749,431,414, is 1.

Now, the common factors can be found like this.

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

194:2x 97

749:7x 107

431:431

414:2x 3x 3x 23

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

2x 2x 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 14934257743104/(1x36)

LCM = 14934257743104/36

LCM = 414840492864

Thus, we can understand that the LCM of 576,194,749,431,414 is 414840492864.

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

• LCM of 869, 812, 482, 338, 363
• LCM of 349, 706, 262, 435, 619
• LCM of 337, 855, 696, 993, 992
• LCM of 743, 556, 956, 597, 878
• LCM of 713, 683, 838, 692, 966

1. What is the LCM of 576, 194, 749, 431, 414?

Answer: LCM of 576, 194, 749, 431, 414 is 414840492864.

2. How to calculate the LCM of 576, 194, 749, 431, 414?

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, 194, 749, 431, 414.

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}.