Given numbers are 412,428,103,916,177

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

The LCM of 412,428,103,916,177 is 1786856772.

Find LCM of 412,428,103,916,177 with Prime Factorization

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

2 x 2 x 103 x 1 x 107 x 1 x 229 x 177 = 1786856772

Therefore, the lowest common multiple of 412,428,103,916,177 is 1786856772.

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.

412 x 428 x 103 x 916 x 177 = 2944739960256

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.

412 : 1, 2, 4, 103, 206, 412

428 : 1, 2, 4, 107, 214, 428

103 : 1, 103

916 : 1, 2, 4, 229, 458, 916

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,428,103,916,177, is 1.

Now, the common factors can be found like this.

412:2x 2x 103

428:2x 2x 107

103:103

916:2x 2x 229

177:3x 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 2x 103 = 1648

Therefore, the value for common factors is 1648.

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 = 2944739960256/(1x1648)

LCM = 2944739960256/1648

LCM = 1786856772

Thus, we can understand that the LCM of 412,428,103,916,177 is 1786856772.

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

• LCM of 746, 755, 922, 580, 317
• LCM of 287, 694, 591, 754, 713
• LCM of 865, 342, 189, 917, 655
• LCM of 837, 923, 200, 253, 185
• LCM of 965, 783, 337, 192, 383

1. What is the LCM of 412, 428, 103, 916, 177?

Answer: LCM of 412, 428, 103, 916, 177 is 1786856772.

2. How to calculate the LCM of 412, 428, 103, 916, 177?

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 412, 428, 103, 916, 177.

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}.