Given numbers are 279,278,415,824

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

The LCM of 279,278,415,824 is 13261550760.

Find LCM of 279,278,415,824 with Prime Factorization

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

2 x 279 x 139 x 415 x 412 = 13261550760

Therefore, the lowest common multiple of 279,278,415,824 is 13261550760.

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.

279 x 278 x 415 x 824 = 26523101520

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.

279 : 1, 3, 9, 31, 93, 279

278 : 1, 2, 139, 278

415 : 1, 5, 83, 415

824 : 1, 2, 4, 8, 103, 206, 412, 824

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,278,415,824, is 1.

Now, the common factors can be found like this.

279:3x 3x 31

278:2x 139

415:5x 83

824:2x 2x 2x 103

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 = 26523101520/(1x2)

LCM = 26523101520/2

LCM = 13261550760

Thus, we can understand that the LCM of 279,278,415,824 is 13261550760.

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

• LCM of 356, 100, 950, 577
• LCM of 819, 681, 219, 626
• LCM of 364, 189, 502, 762
• LCM of 143, 175, 692, 889
• LCM of 504, 833, 179, 455

1. What is the LCM of 279, 278, 415, 824?

Answer: LCM of 279, 278, 415, 824 is 13261550760.

2. How to calculate the LCM of 279, 278, 415, 824?

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 279, 278, 415, 824.

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}.