Given numbers are 810,942,302,134,944

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

The LCM of 810,942,302,134,944 is 607265236080.

Find LCM of 810,942,302,134,944 with Prime Factorization

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

2 x 3 x 135 x 157 x 151 x 67 x 472 = 607265236080

Therefore, the lowest common multiple of 810,942,302,134,944 is 607265236080.

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.

810 x 942 x 302 x 134 x 944 = 29148731331840

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.

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

942 : 1, 2, 3, 6, 157, 314, 471, 942

302 : 1, 2, 151, 302

134 : 1, 2, 67, 134

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,942,302,134,944, is 2.

Now, the common factors can be found like this.

810:2x 3x 3x 3x 3x 5

942:2x 3x 157

302:2x 151

134:2x 67

944:2x 2x 2x 2x 59

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 3 = 24

Therefore, the value for common factors is 24.

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 = 29148731331840/(2x24)

LCM = 29148731331840/48

LCM = 607265236080

Thus, we can understand that the LCM of 810,942,302,134,944 is 607265236080.

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

• LCM of 938, 496, 388, 369, 705
• LCM of 665, 261, 422, 104, 743
• LCM of 749, 934, 155, 471, 577
• LCM of 905, 275, 743, 306, 707
• LCM of 556, 671, 806, 213, 880

1. What is the LCM of 810, 942, 302, 134, 944?

Answer: LCM of 810, 942, 302, 134, 944 is 607265236080.

2. How to calculate the LCM of 810, 942, 302, 134, 944?

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 810, 942, 302, 134, 944.

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}.