Given numbers are 235,227,936,735,747

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

The LCM of 235,227,936,735,747 is 203069051640.

Find LCM of 235,227,936,735,747 with Prime Factorization

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

3 x 3 x 5 x 47 x 227 x 104 x 49 x 83 = 203069051640

Therefore, the lowest common multiple of 235,227,936,735,747 is 203069051640.

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.

235 x 227 x 936 x 735 x 747 = 27414321971400

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.

235 : 1, 5, 47, 235

227 : 1, 227

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,227,936,735,747, is 1.

Now, the common factors can be found like this.

235:5x 47

227:227

936:2x 2x 2x 3x 3x 13

735:3x 5x 7x 7

747:3x 3x 83

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

3x 3x 3x 5 = 135

Therefore, the value for common factors is 135.

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 = 27414321971400/(1x135)

LCM = 27414321971400/135

LCM = 203069051640

Thus, we can understand that the LCM of 235,227,936,735,747 is 203069051640.

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

• LCM of 356, 584, 892, 976, 476
• LCM of 114, 609, 529, 671, 769
• LCM of 581, 209, 197, 211, 636
• LCM of 529, 139, 946, 480, 830
• LCM of 195, 761, 794, 768, 941

1. What is the LCM of 235, 227, 936, 735, 747?

Answer: LCM of 235, 227, 936, 735, 747 is 203069051640.

2. How to calculate the LCM of 235, 227, 936, 735, 747?

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 235, 227, 936, 735, 747.

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}.