Given numbers are 910,450,420,548,386

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

The LCM of 910,450,420,548,386 is 2165517900.

Find LCM of 910,450,420,548,386 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 13 x 15 x 1 x 137 x 193 = 2165517900

Therefore, the lowest common multiple of 910,450,420,548,386 is 2165517900.

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 450 x 420 x 548 x 386 = 36380700720000

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

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

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

548 : 1, 2, 4, 137, 274, 548

386 : 1, 2, 193, 386

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,450,420,548,386, is 2.

Now, the common factors can be found like this.

910:2x 5x 7x 13

450:2x 3x 3x 5x 5

420:2x 2x 3x 5x 7

548:2x 2x 137

386:2x 193

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 5x 5x 7 = 8400

Therefore, the value for common factors is 8400.

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 = 36380700720000/(2x8400)

LCM = 36380700720000/16800

LCM = 2165517900

Thus, we can understand that the LCM of 910,450,420,548,386 is 2165517900.

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

• LCM of 284, 356, 236, 826, 539
• LCM of 165, 841, 914, 613, 571
• LCM of 401, 252, 552, 929, 241
• LCM of 758, 485, 179, 647, 799
• LCM of 901, 572, 150, 933, 635

1. What is the LCM of 910, 450, 420, 548, 386?

Answer: LCM of 910, 450, 420, 548, 386 is 2165517900.

2. How to calculate the LCM of 910, 450, 420, 548, 386?

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, 450, 420, 548, 386.

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}.