Given numbers are 278,872,148,313

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

The LCM of 278,872,148,313 is 1403709848.

Find LCM of 278,872,148,313 with Prime Factorization

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

2 x 2 x 139 x 218 x 37 x 313 = 1403709848

Therefore, the lowest common multiple of 278,872,148,313 is 1403709848.

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 872 x 148 x 313 = 11229678784

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

872 : 1, 2, 4, 8, 109, 218, 436, 872

148 : 1, 2, 4, 37, 74, 148

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,872,148,313, is 1.

Now, the common factors can be found like this.

278:2x 139

872:2x 2x 2x 109

148:2x 2x 37

313:313

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 2 = 8

Therefore, the value for common factors is 8.

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 = 11229678784/(1x8)

LCM = 11229678784/8

LCM = 1403709848

Thus, we can understand that the LCM of 278,872,148,313 is 1403709848.

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

• LCM of 804, 606, 883, 910
• LCM of 116, 849, 566, 228
• LCM of 789, 215, 325, 826
• LCM of 834, 426, 826, 462
• LCM of 308, 982, 493, 455

1. What is the LCM of 278, 872, 148, 313?

Answer: LCM of 278, 872, 148, 313 is 1403709848.

2. How to calculate the LCM of 278, 872, 148, 313?

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, 872, 148, 313.

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}.