Given numbers are 438,446,761,307,278

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

The LCM of 438,446,761,307,278 is 3171880420122.

Find LCM of 438,446,761,307,278 with Prime Factorization

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

2 x 219 x 223 x 761 x 307 x 139 = 3171880420122

Therefore, the lowest common multiple of 438,446,761,307,278 is 3171880420122.

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.

438 x 446 x 761 x 307 x 278 = 12687521680488

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

446 : 1, 2, 223, 446

761 : 1, 761

307 : 1, 307

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,446,761,307,278, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

446:2x 223

761:761

307:307

278:2x 139

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 12687521680488/(1x4)

LCM = 12687521680488/4

LCM = 3171880420122

Thus, we can understand that the LCM of 438,446,761,307,278 is 3171880420122.

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

• LCM of 934, 577, 498, 290, 153
• LCM of 799, 222, 217, 614, 235
• LCM of 155, 507, 835, 986, 184
• LCM of 770, 357, 730, 660, 152
• LCM of 153, 658, 529, 399, 372

1. What is the LCM of 438, 446, 761, 307, 278?

Answer: LCM of 438, 446, 761, 307, 278 is 3171880420122.

2. How to calculate the LCM of 438, 446, 761, 307, 278?

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 438, 446, 761, 307, 278.

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}.