Given numbers are 279,214,248,686

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

The LCM of 279,214,248,686 is 81916632.

Find LCM of 279,214,248,686 with Prime Factorization

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

2 x 31 x 9 x 107 x 4 x 343 = 81916632

Therefore, the lowest common multiple of 279,214,248,686 is 81916632.

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 214 x 248 x 686 = 10157662368

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

214 : 1, 2, 107, 214

248 : 1, 2, 4, 8, 31, 62, 124, 248

686 : 1, 2, 7, 14, 49, 98, 343, 686

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,214,248,686, is 1.

Now, the common factors can be found like this.

279:3x 3x 31

214:2x 107

248:2x 2x 2x 31

686:2x 7x 7x 7

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 31 = 124

Therefore, the value for common factors is 124.

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 = 10157662368/(1x124)

LCM = 10157662368/124

LCM = 81916632

Thus, we can understand that the LCM of 279,214,248,686 is 81916632.

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

• LCM of 779, 746, 186, 570
• LCM of 185, 791, 975, 156
• LCM of 971, 607, 763, 569
• LCM of 845, 580, 632, 711
• LCM of 448, 536, 882, 829

1. What is the LCM of 279, 214, 248, 686?

Answer: LCM of 279, 214, 248, 686 is 81916632.

2. How to calculate the LCM of 279, 214, 248, 686?

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, 214, 248, 686.

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}.