Given numbers are 545,560,475,214,342

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

The LCM of 545,560,475,214,342 is 5584244400.

Find LCM of 545,560,475,214,342 with Prime Factorization

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

2 x 5 x 19 x 109 x 56 x 5 x 107 x 9 = 5584244400

Therefore, the lowest common multiple of 545,560,475,214,342 is 5584244400.

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.

545 x 560 x 475 x 214 x 342 = 10610064360000

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.

545 : 1, 5, 109, 545

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

475 : 1, 5, 19, 25, 95, 475

214 : 1, 2, 107, 214

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,560,475,214,342, is 1.

Now, the common factors can be found like this.

545:5x 109

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

475:5x 5x 19

214:2x 107

342:2x 3x 3x 19

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 5x 5x 19 = 1900

Therefore, the value for common factors is 1900.

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 = 10610064360000/(1x1900)

LCM = 10610064360000/1900

LCM = 5584244400

Thus, we can understand that the LCM of 545,560,475,214,342 is 5584244400.

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

• LCM of 331, 192, 373, 965, 225
• LCM of 865, 613, 947, 580, 897
• LCM of 383, 830, 173, 971, 369
• LCM of 550, 116, 140, 149, 742
• LCM of 348, 234, 689, 111, 828

1. What is the LCM of 545, 560, 475, 214, 342?

Answer: LCM of 545, 560, 475, 214, 342 is 5584244400.

2. How to calculate the LCM of 545, 560, 475, 214, 342?

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 545, 560, 475, 214, 342.

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}.