Given numbers are 467,920,560,138,274

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

The LCM of 467,920,560,138,274 is 2472148560.

Find LCM of 467,920,560,138,274 with Prime Factorization

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

2 x 2 x 2 x 5 x 23 x 467 x 1 x 14 x 3 x 137 = 2472148560

Therefore, the lowest common multiple of 467,920,560,138,274 is 2472148560.

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.

467 x 920 x 560 x 138 x 274 = 9097506700800

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.

467 : 1, 467

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

138 : 1, 2, 3, 6, 23, 46, 69, 138

274 : 1, 2, 137, 274

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,920,560,138,274, is 1.

Now, the common factors can be found like this.

467:467

920:2x 2x 2x 5x 23

560:2x 2x 2x 2x 5x 7

138:2x 3x 23

274:2x 137

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 2x 2x 5x 23 = 3680

Therefore, the value for common factors is 3680.

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 = 9097506700800/(1x3680)

LCM = 9097506700800/3680

LCM = 2472148560

Thus, we can understand that the LCM of 467,920,560,138,274 is 2472148560.

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

• LCM of 425, 855, 569, 591, 854
• LCM of 288, 982, 442, 431, 111
• LCM of 778, 287, 495, 703, 755
• LCM of 609, 461, 422, 381, 984
• LCM of 656, 329, 455, 601, 298

1. What is the LCM of 467, 920, 560, 138, 274?

Answer: LCM of 467, 920, 560, 138, 274 is 2472148560.

2. How to calculate the LCM of 467, 920, 560, 138, 274?

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 467, 920, 560, 138, 274.

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}.