Given numbers are 548,219,596,460,668

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

The LCM of 548,219,596,460,668 is 343419738540.

Find LCM of 548,219,596,460,668 with Prime Factorization

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

2 x 2 x 137 x 219 x 149 x 115 x 167 = 343419738540

Therefore, the lowest common multiple of 548,219,596,460,668 is 343419738540.

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.

548 x 219 x 596 x 460 x 668 = 21978863266560

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.

548 : 1, 2, 4, 137, 274, 548

219 : 1, 3, 73, 219

596 : 1, 2, 4, 149, 298, 596

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

668 : 1, 2, 4, 167, 334, 668

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,219,596,460,668, is 1.

Now, the common factors can be found like this.

548:2x 2x 137

219:3x 73

596:2x 2x 149

460:2x 2x 5x 23

668:2x 2x 167

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 2 = 64

Therefore, the value for common factors is 64.

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 = 21978863266560/(1x64)

LCM = 21978863266560/64

LCM = 343419738540

Thus, we can understand that the LCM of 548,219,596,460,668 is 343419738540.

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

• LCM of 164, 723, 521, 356, 475
• LCM of 558, 502, 519, 163, 251
• LCM of 599, 525, 724, 888, 636
• LCM of 535, 686, 595, 329, 445
• LCM of 248, 401, 869, 945, 335

1. What is the LCM of 548, 219, 596, 460, 668?

Answer: LCM of 548, 219, 596, 460, 668 is 343419738540.

2. How to calculate the LCM of 548, 219, 596, 460, 668?

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 548, 219, 596, 460, 668.

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}.