Given numbers are 676,271,434,322

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

The LCM of 676,271,434,322 is 914331236.

Find LCM of 676,271,434,322 with Prime Factorization

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

2 x 7 x 338 x 271 x 31 x 23 = 914331236

Therefore, the lowest common multiple of 676,271,434,322 is 914331236.

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.

676 x 271 x 434 x 322 = 25601274608

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

271 : 1, 271

434 : 1, 2, 7, 14, 31, 62, 217, 434

322 : 1, 2, 7, 14, 23, 46, 161, 322

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,271,434,322, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

271:271

434:2x 7x 31

322:2x 7x 23

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 7 = 28

Therefore, the value for common factors is 28.

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 = 25601274608/(1x28)

LCM = 25601274608/28

LCM = 914331236

Thus, we can understand that the LCM of 676,271,434,322 is 914331236.

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

• LCM of 153, 916, 814, 660
• LCM of 675, 382, 241, 798
• LCM of 966, 805, 291, 520
• LCM of 347, 681, 411, 441
• LCM of 144, 152, 529, 395

1. What is the LCM of 676, 271, 434, 322?

Answer: LCM of 676, 271, 434, 322 is 914331236.

2. How to calculate the LCM of 676, 271, 434, 322?

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 676, 271, 434, 322.

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}.