Given numbers are 421,104,702,888,966

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

The LCM of 421,104,702,888,966 is 7042174776.

Find LCM of 421,104,702,888,966 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 421 x 1 x 9 x 37 x 161 = 7042174776

Therefore, the lowest common multiple of 421,104,702,888,966 is 7042174776.

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.

421 x 104 x 702 x 888 x 966 = 26365902361344

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.

421 : 1, 421

104 : 1, 2, 4, 8, 13, 26, 52, 104

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,104,702,888,966, is 1.

Now, the common factors can be found like this.

421:421

104:2x 2x 2x 13

702:2x 3x 3x 3x 13

888:2x 2x 2x 3x 37

966:2x 3x 7x 23

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 3x 3x 13 = 3744

Therefore, the value for common factors is 3744.

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 = 26365902361344/(1x3744)

LCM = 26365902361344/3744

LCM = 7042174776

Thus, we can understand that the LCM of 421,104,702,888,966 is 7042174776.

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

• LCM of 933, 734, 936, 300, 994
• LCM of 375, 521, 610, 230, 304
• LCM of 701, 223, 137, 480, 719
• LCM of 838, 194, 696, 225, 343
• LCM of 595, 306, 820, 735, 946

1. What is the LCM of 421, 104, 702, 888, 966?

Answer: LCM of 421, 104, 702, 888, 966 is 7042174776.

2. How to calculate the LCM of 421, 104, 702, 888, 966?

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 421, 104, 702, 888, 966.

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}.