Given numbers are 279,268,862,420

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

The LCM of 279,268,862,420 is 1127935620.

Find LCM of 279,268,862,420 with Prime Factorization

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

2 x 2 x 3 x 93 x 67 x 431 x 35 = 1127935620

Therefore, the lowest common multiple of 279,268,862,420 is 1127935620.

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 268 x 862 x 420 = 27070454880

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

268 : 1, 2, 4, 67, 134, 268

862 : 1, 2, 431, 862

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,268,862,420, is 1.

Now, the common factors can be found like this.

279:3x 3x 31

268:2x 2x 67

862:2x 431

420:2x 2x 3x 5x 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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 27070454880/(1x24)

LCM = 27070454880/24

LCM = 1127935620

Thus, we can understand that the LCM of 279,268,862,420 is 1127935620.

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

• LCM of 800, 654, 727, 780
• LCM of 807, 446, 151, 644
• LCM of 574, 309, 453, 387
• LCM of 401, 737, 909, 362
• LCM of 253, 219, 795, 116

1. What is the LCM of 279, 268, 862, 420?

Answer: LCM of 279, 268, 862, 420 is 1127935620.

2. How to calculate the LCM of 279, 268, 862, 420?

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, 268, 862, 420.

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}.