Given numbers are 278,407,278,328

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

The LCM of 278,407,278,328 is 18555944.

Find LCM of 278,407,278,328 with Prime Factorization

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

2 x 139 x 1 x 407 x 1 x 164 = 18555944

Therefore, the lowest common multiple of 278,407,278,328 is 18555944.

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 407 x 278 x 328 = 10317104864

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

407 : 1, 11, 37, 407

278 : 1, 2, 139, 278

328 : 1, 2, 4, 8, 41, 82, 164, 328

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,407,278,328, is 1.

Now, the common factors can be found like this.

278:2x 139

407:11x 37

278:2x 139

328:2x 2x 2x 41

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

2x 2x 139 = 556

Therefore, the value for common factors is 556.

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 = 10317104864/(1x556)

LCM = 10317104864/556

LCM = 18555944

Thus, we can understand that the LCM of 278,407,278,328 is 18555944.

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

• LCM of 457, 343, 648, 635
• LCM of 139, 530, 248, 992
• LCM of 192, 822, 807, 480
• LCM of 396, 568, 881, 820
• LCM of 256, 166, 410, 388

1. What is the LCM of 278, 407, 278, 328?

Answer: LCM of 278, 407, 278, 328 is 18555944.

2. How to calculate the LCM of 278, 407, 278, 328?

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, 407, 278, 328.

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}.