Given numbers are 576,238,192,129,141

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

The LCM of 576,238,192,129,141 is 138527424.

Find LCM of 576,238,192,129,141 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 3 x 1 x 119 x 3 x 43 x 47 = 138527424

Therefore, the lowest common multiple of 576,238,192,129,141 is 138527424.

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 238 x 192 x 129 x 141 = 478750777344

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

238 : 1, 2, 7, 14, 17, 34, 119, 238

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

129 : 1, 3, 43, 129

141 : 1, 3, 47, 141

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,238,192,129,141, is 1.

Now, the common factors can be found like this.

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

238:2x 7x 17

192:2x 2x 2x 2x 2x 2x 3

129:3x 43

141:3x 47

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 2x 2x 2x 2x 2x 3x 3x 3 = 3456

Therefore, the value for common factors is 3456.

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 = 478750777344/(1x3456)

LCM = 478750777344/3456

LCM = 138527424

Thus, we can understand that the LCM of 576,238,192,129,141 is 138527424.

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

• LCM of 315, 503, 406, 141, 385
• LCM of 381, 936, 365, 126, 388
• LCM of 934, 185, 686, 262, 367
• LCM of 866, 825, 265, 823, 860
• LCM of 993, 425, 227, 460, 795

1. What is the LCM of 576, 238, 192, 129, 141?

Answer: LCM of 576, 238, 192, 129, 141 is 138527424.

2. How to calculate the LCM of 576, 238, 192, 129, 141?

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, 238, 192, 129, 141.

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}.