Given numbers are 967,800,225,375,211

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

The LCM of 967,800,225,375,211 is 7345332000.

Find LCM of 967,800,225,375,211 with Prime Factorization

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

3 x 5 x 5 x 967 x 32 x 3 x 5 x 211 = 7345332000

Therefore, the lowest common multiple of 967,800,225,375,211 is 7345332000.

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.

967 x 800 x 225 x 375 x 211 = 13772497500000

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.

967 : 1, 967

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

375 : 1, 3, 5, 15, 25, 75, 125, 375

211 : 1, 211

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,800,225,375,211, is 1.

Now, the common factors can be found like this.

967:967

800:2x 2x 2x 2x 2x 5x 5

225:3x 3x 5x 5

375:3x 5x 5x 5

211:211

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

3x 5x 5x 5x 5 = 1875

Therefore, the value for common factors is 1875.

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 = 13772497500000/(1x1875)

LCM = 13772497500000/1875

LCM = 7345332000

Thus, we can understand that the LCM of 967,800,225,375,211 is 7345332000.

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

• LCM of 405, 759, 878, 484, 737
• LCM of 989, 381, 519, 424, 151
• LCM of 182, 390, 592, 691, 916
• LCM of 602, 903, 228, 756, 475
• LCM of 628, 747, 933, 658, 479

1. What is the LCM of 967, 800, 225, 375, 211?

Answer: LCM of 967, 800, 225, 375, 211 is 7345332000.

2. How to calculate the LCM of 967, 800, 225, 375, 211?

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 967, 800, 225, 375, 211.

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}.