Given numbers are 762,305,338,241

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

The LCM of 762,305,338,241 is 9465826890.

Find LCM of 762,305,338,241 with Prime Factorization

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

2 x 381 x 305 x 169 x 241 = 9465826890

Therefore, the lowest common multiple of 762,305,338,241 is 9465826890.

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.

762 x 305 x 338 x 241 = 18931653780

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.

762 : 1, 2, 3, 6, 127, 254, 381, 762

305 : 1, 5, 61, 305

338 : 1, 2, 13, 26, 169, 338

241 : 1, 241

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,305,338,241, is 1.

Now, the common factors can be found like this.

762:2x 3x 127

305:5x 61

338:2x 13x 13

241:241

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

2 = 2

Therefore, the value for common factors is 2.

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 = 18931653780/(1x2)

LCM = 18931653780/2

LCM = 9465826890

Thus, we can understand that the LCM of 762,305,338,241 is 9465826890.

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

• LCM of 356, 900, 408, 172
• LCM of 873, 588, 637, 323
• LCM of 342, 768, 732, 415
• LCM of 856, 117, 791, 447
• LCM of 509, 407, 930, 813

1. What is the LCM of 762, 305, 338, 241?

Answer: LCM of 762, 305, 338, 241 is 9465826890.

2. How to calculate the LCM of 762, 305, 338, 241?

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 762, 305, 338, 241.

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}.