Given numbers are 279,260,302,742

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

The LCM of 279,260,302,742 is 4063763340.

Find LCM of 279,260,302,742 with Prime Factorization

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

2 x 279 x 130 x 151 x 371 = 4063763340

Therefore, the lowest common multiple of 279,260,302,742 is 4063763340.

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 260 x 302 x 742 = 16255053360

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

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

302 : 1, 2, 151, 302

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,260,302,742, is 1.

Now, the common factors can be found like this.

279:3x 3x 31

260:2x 2x 5x 13

302:2x 151

742:2x 7x 53

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 = 16255053360/(1x4)

LCM = 16255053360/4

LCM = 4063763340

Thus, we can understand that the LCM of 279,260,302,742 is 4063763340.

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

• LCM of 621, 128, 726, 218
• LCM of 444, 721, 894, 927
• LCM of 120, 565, 845, 297
• LCM of 687, 256, 636, 878
• LCM of 227, 826, 959, 995

1. What is the LCM of 279, 260, 302, 742?

Answer: LCM of 279, 260, 302, 742 is 4063763340.

2. How to calculate the LCM of 279, 260, 302, 742?

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, 260, 302, 742.

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}.