Given numbers are 428,750,876,722,786

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

The LCM of 428,750,876,722,786 is 554085001500.

Find LCM of 428,750,876,722,786 with Prime Factorization

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

2 x 2 x 3 x 107 x 125 x 73 x 361 x 131 = 554085001500

Therefore, the lowest common multiple of 428,750,876,722,786 is 554085001500.

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.

428 x 750 x 876 x 722 x 786 = 159576480432000

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.

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

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

722 : 1, 2, 19, 38, 361, 722

786 : 1, 2, 3, 6, 131, 262, 393, 786

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,750,876,722,786, is 2.

Now, the common factors can be found like this.

428:2x 2x 107

750:2x 3x 5x 5x 5

876:2x 2x 3x 73

722:2x 19x 19

786:2x 3x 131

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 159576480432000/(2x144)

LCM = 159576480432000/288

LCM = 554085001500

Thus, we can understand that the LCM of 428,750,876,722,786 is 554085001500.

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

• LCM of 274, 996, 307, 629, 131
• LCM of 817, 560, 966, 248, 763
• LCM of 242, 459, 587, 775, 808
• LCM of 712, 101, 989, 435, 539
• LCM of 932, 412, 902, 948, 178

1. What is the LCM of 428, 750, 876, 722, 786?

Answer: LCM of 428, 750, 876, 722, 786 is 554085001500.

2. How to calculate the LCM of 428, 750, 876, 722, 786?

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 428, 750, 876, 722, 786.

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}.