Given numbers are 225,360,201,696,854

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

The LCM of 225,360,201,696,854 is 1493389800.

Find LCM of 225,360,201,696,854 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 5 x 1 x 5 x 67 x 29 x 427 = 1493389800

Therefore, the lowest common multiple of 225,360,201,696,854 is 1493389800.

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.

225 x 360 x 201 x 696 x 854 = 9677165904000

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.

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

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

201 : 1, 3, 67, 201

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

854 : 1, 2, 7, 14, 61, 122, 427, 854

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 225,360,201,696,854, is 1.

Now, the common factors can be found like this.

225:3x 3x 5x 5

360:2x 2x 2x 3x 3x 5

201:3x 67

696:2x 2x 2x 3x 29

854:2x 7x 61

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 3x 3x 5 = 6480

Therefore, the value for common factors is 6480.

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 = 9677165904000/(1x6480)

LCM = 9677165904000/6480

LCM = 1493389800

Thus, we can understand that the LCM of 225,360,201,696,854 is 1493389800.

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

• LCM of 409, 933, 695, 970, 348
• LCM of 458, 587, 514, 341, 257
• LCM of 896, 786, 884, 817, 914
• LCM of 897, 971, 504, 948, 857
• LCM of 852, 827, 362, 287, 794

1. What is the LCM of 225, 360, 201, 696, 854?

Answer: LCM of 225, 360, 201, 696, 854 is 1493389800.

2. How to calculate the LCM of 225, 360, 201, 696, 854?

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 225, 360, 201, 696, 854.

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}.