Given numbers are 910,728,844,930,164

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

The LCM of 910,728,844,930,164 is 2928536520.

Find LCM of 910,728,844,930,164 with Prime Factorization

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

2 x 2 x 5 x 7 x 13 x 1 x 2 x 211 x 93 x 41 = 2928536520

Therefore, the lowest common multiple of 910,728,844,930,164 is 2928536520.

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.

910 x 728 x 844 x 930 x 164 = 85278983462400

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.

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

844 : 1, 2, 4, 211, 422, 844

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

164 : 1, 2, 4, 41, 82, 164

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,728,844,930,164, is 2.

Now, the common factors can be found like this.

910:2x 5x 7x 13

728:2x 2x 2x 7x 13

844:2x 2x 211

930:2x 3x 5x 31

164:2x 2x 41

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 5x 7x 13 = 14560

Therefore, the value for common factors is 14560.

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 = 85278983462400/(2x14560)

LCM = 85278983462400/29120

LCM = 2928536520

Thus, we can understand that the LCM of 910,728,844,930,164 is 2928536520.

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

• LCM of 538, 946, 451, 145, 706
• LCM of 704, 385, 756, 878, 232
• LCM of 133, 433, 694, 156, 643
• LCM of 211, 927, 293, 778, 945
• LCM of 271, 289, 144, 950, 635

1. What is the LCM of 910, 728, 844, 930, 164?

Answer: LCM of 910, 728, 844, 930, 164 is 2928536520.

2. How to calculate the LCM of 910, 728, 844, 930, 164?

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 910, 728, 844, 930, 164.

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}.