Given numbers are 900,466,746,493

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

The LCM of 900,466,746,493 is 38561523300.

Find LCM of 900,466,746,493 with Prime Factorization

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

2 x 450 x 233 x 373 x 493 = 38561523300

Therefore, the lowest common multiple of 900,466,746,493 is 38561523300.

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.

900 x 466 x 746 x 493 = 154246093200

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.

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

466 : 1, 2, 233, 466

746 : 1, 2, 373, 746

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,466,746,493, is 1.

Now, the common factors can be found like this.

900:2x 2x 3x 3x 5x 5

466:2x 233

746:2x 373

493:17x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 154246093200/(1x4)

LCM = 154246093200/4

LCM = 38561523300

Thus, we can understand that the LCM of 900,466,746,493 is 38561523300.

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

• LCM of 150, 922, 401, 247
• LCM of 379, 144, 575, 672
• LCM of 551, 112, 763, 887
• LCM of 152, 723, 188, 283
• LCM of 854, 672, 141, 905

1. What is the LCM of 900, 466, 746, 493?

Answer: LCM of 900, 466, 746, 493 is 38561523300.

2. How to calculate the LCM of 900, 466, 746, 493?

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 900, 466, 746, 493.

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}.