Given numbers are 278,752,438,401

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

The LCM of 278,752,438,401 is 9179544432.

Find LCM of 278,752,438,401 with Prime Factorization

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

2 x 139 x 376 x 219 x 401 = 9179544432

Therefore, the lowest common multiple of 278,752,438,401 is 9179544432.

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.

278 x 752 x 438 x 401 = 36718177728

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.

278 : 1, 2, 139, 278

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

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

401 : 1, 401

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,752,438,401, is 1.

Now, the common factors can be found like this.

278:2x 139

752:2x 2x 2x 2x 47

438:2x 3x 73

401:401

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 = 36718177728/(1x4)

LCM = 36718177728/4

LCM = 9179544432

Thus, we can understand that the LCM of 278,752,438,401 is 9179544432.

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

• LCM of 469, 773, 981, 402
• LCM of 316, 681, 698, 835
• LCM of 770, 561, 276, 349
• LCM of 296, 376, 175, 156
• LCM of 519, 516, 714, 158

1. What is the LCM of 278, 752, 438, 401?

Answer: LCM of 278, 752, 438, 401 is 9179544432.

2. How to calculate the LCM of 278, 752, 438, 401?

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 278, 752, 438, 401.

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}.