Given numbers are 250,274,900,924,393

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

The LCM of 250,274,900,924,393 is 6218635500.

Find LCM of 250,274,900,924,393 with Prime Factorization

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

2 x 2 x 3 x 5 x 5 x 5 x 137 x 3 x 77 x 131 = 6218635500

Therefore, the lowest common multiple of 250,274,900,924,393 is 6218635500.

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.

250 x 274 x 900 x 924 x 393 = 22387087800000

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.

250 : 1, 2, 5, 10, 25, 50, 125, 250

274 : 1, 2, 137, 274

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

393 : 1, 3, 131, 393

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 250,274,900,924,393, is 1.

Now, the common factors can be found like this.

250:2x 5x 5x 5

274:2x 137

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

924:2x 2x 3x 7x 11

393:3x 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 3x 5x 5 = 3600

Therefore, the value for common factors is 3600.

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 = 22387087800000/(1x3600)

LCM = 22387087800000/3600

LCM = 6218635500

Thus, we can understand that the LCM of 250,274,900,924,393 is 6218635500.

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

• LCM of 930, 244, 238, 110, 196
• LCM of 903, 337, 350, 815, 257
• LCM of 158, 397, 360, 379, 566
• LCM of 200, 946, 905, 540, 759
• LCM of 475, 820, 329, 605, 943

1. What is the LCM of 250, 274, 900, 924, 393?

Answer: LCM of 250, 274, 900, 924, 393 is 6218635500.

2. How to calculate the LCM of 250, 274, 900, 924, 393?

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 250, 274, 900, 924, 393.

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}.