Given numbers are 576,429,235,102

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

The LCM of 576,429,235,102 is 329060160.

Find LCM of 576,429,235,102 with Prime Factorization

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

2 x 3 x 96 x 143 x 235 x 17 = 329060160

Therefore, the lowest common multiple of 576,429,235,102 is 329060160.

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 429 x 235 x 102 = 5923082880

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

429 : 1, 3, 11, 13, 33, 39, 143, 429

235 : 1, 5, 47, 235

102 : 1, 2, 3, 6, 17, 34, 51, 102

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,429,235,102, is 1.

Now, the common factors can be found like this.

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

429:3x 11x 13

235:5x 47

102:2x 3x 17

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 5923082880/(1x18)

LCM = 5923082880/18

LCM = 329060160

Thus, we can understand that the LCM of 576,429,235,102 is 329060160.

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

• LCM of 264, 798, 140, 692
• LCM of 551, 921, 203, 332
• LCM of 644, 193, 181, 756
• LCM of 483, 664, 669, 547
• LCM of 685, 155, 667, 758

1. What is the LCM of 576, 429, 235, 102?

Answer: LCM of 576, 429, 235, 102 is 329060160.

2. How to calculate the LCM of 576, 429, 235, 102?

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, 429, 235, 102.

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}.