Given numbers are 748,806,828,177

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

The LCM of 748,806,828,177 is 3681535572.

Find LCM of 748,806,828,177 with Prime Factorization

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

2 x 2 x 3 x 187 x 403 x 69 x 59 = 3681535572

Therefore, the lowest common multiple of 748,806,828,177 is 3681535572.

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.

748 x 806 x 828 x 177 = 88356853728

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

806 : 1, 2, 13, 26, 31, 62, 403, 806

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,806,828,177, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

806:2x 13x 31

828:2x 2x 3x 3x 23

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 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 = 88356853728/(1x24)

LCM = 88356853728/24

LCM = 3681535572

Thus, we can understand that the LCM of 748,806,828,177 is 3681535572.

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

• LCM of 433, 451, 113, 946
• LCM of 819, 358, 867, 765
• LCM of 869, 675, 520, 401
• LCM of 164, 760, 923, 580
• LCM of 379, 777, 514, 865

1. What is the LCM of 748, 806, 828, 177?

Answer: LCM of 748, 806, 828, 177 is 3681535572.

2. How to calculate the LCM of 748, 806, 828, 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 748, 806, 828, 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}.