Given numbers are 189,538,456,107

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

The LCM of 189,538,456,107 is 826878024.

Find LCM of 189,538,456,107 with Prime Factorization

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

2 x 3 x 63 x 269 x 76 x 107 = 826878024

Therefore, the lowest common multiple of 189,538,456,107 is 826878024.

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.

189 x 538 x 456 x 107 = 4961268144

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.

189 : 1, 3, 7, 9, 21, 27, 63, 189

538 : 1, 2, 269, 538

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,538,456,107, is 1.

Now, the common factors can be found like this.

189:3x 3x 3x 7

538:2x 269

456:2x 2x 2x 3x 19

107:107

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 4961268144/(1x6)

LCM = 4961268144/6

LCM = 826878024

Thus, we can understand that the LCM of 189,538,456,107 is 826878024.

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

• LCM of 186, 473, 306, 218
• LCM of 269, 390, 294, 311
• LCM of 434, 216, 216, 199
• LCM of 503, 887, 159, 598
• LCM of 577, 510, 448, 664

1. What is the LCM of 189, 538, 456, 107?

Answer: LCM of 189, 538, 456, 107 is 826878024.

2. How to calculate the LCM of 189, 538, 456, 107?

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 189, 538, 456, 107.

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}.