Given numbers are 628,910,420,875

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

The LCM of 628,910,420,875 is 21430500.

Find LCM of 628,910,420,875 with Prime Factorization

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

2 x 2 x 5 x 7 x 157 x 13 x 3 x 25 = 21430500

Therefore, the lowest common multiple of 628,910,420,875 is 21430500.

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.

628 x 910 x 420 x 875 = 210018900000

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.

628 : 1, 2, 4, 157, 314, 628

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

875 : 1, 5, 7, 25, 35, 125, 175, 875

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,910,420,875, is 1.

Now, the common factors can be found like this.

628:2x 2x 157

910:2x 5x 7x 13

420:2x 2x 3x 5x 7

875:5x 5x 5x 7

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 5x 5x 7x 7 = 9800

Therefore, the value for common factors is 9800.

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 = 210018900000/(1x9800)

LCM = 210018900000/9800

LCM = 21430500

Thus, we can understand that the LCM of 628,910,420,875 is 21430500.

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

• LCM of 859, 236, 978, 147
• LCM of 251, 818, 112, 375
• LCM of 849, 766, 979, 571
• LCM of 592, 328, 881, 662
• LCM of 566, 971, 815, 910

1. What is the LCM of 628, 910, 420, 875?

Answer: LCM of 628, 910, 420, 875 is 21430500.

2. How to calculate the LCM of 628, 910, 420, 875?

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 628, 910, 420, 875.

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}.