Given numbers are 827,538,219,269

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

The LCM of 827,538,219,269 is 97438794.

Find LCM of 827,538,219,269 with Prime Factorization

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

269 x 827 x 2 x 219 x 1 = 97438794

Therefore, the lowest common multiple of 827,538,219,269 is 97438794.

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.

827 x 538 x 219 x 269 = 26211035586

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.

827 : 1, 827

538 : 1, 2, 269, 538

219 : 1, 3, 73, 219

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,538,219,269, is 1.

Now, the common factors can be found like this.

827:827

538:2x 269

219:3x 73

269:269

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

269 = 269

Therefore, the value for common factors is 269.

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 = 26211035586/(1x269)

LCM = 26211035586/269

LCM = 97438794

Thus, we can understand that the LCM of 827,538,219,269 is 97438794.

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

• LCM of 657, 537, 445, 252
• LCM of 196, 466, 488, 871
• LCM of 669, 193, 523, 978
• LCM of 695, 708, 461, 343
• LCM of 757, 413, 804, 421

1. What is the LCM of 827, 538, 219, 269?

Answer: LCM of 827, 538, 219, 269 is 97438794.

2. How to calculate the LCM of 827, 538, 219, 269?

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 827, 538, 219, 269.

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}.