Given numbers are 548,574,930,304,410

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

The LCM of 548,574,930,304,410 is 5558133840.

Find LCM of 548,574,930,304,410 with Prime Factorization

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

2 x 2 x 5 x 41 x 137 x 7 x 93 x 76 x 1 = 5558133840

Therefore, the lowest common multiple of 548,574,930,304,410 is 5558133840.

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 574 x 930 x 304 x 410 = 36461357990400

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

574 : 1, 2, 7, 14, 41, 82, 287, 574

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

410 : 1, 2, 5, 10, 41, 82, 205, 410

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,574,930,304,410, is 2.

Now, the common factors can be found like this.

548:2x 2x 137

574:2x 7x 41

930:2x 3x 5x 31

304:2x 2x 2x 2x 19

410:2x 5x 41

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 5x 41 = 3280

Therefore, the value for common factors is 3280.

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 = 36461357990400/(2x3280)

LCM = 36461357990400/6560

LCM = 5558133840

Thus, we can understand that the LCM of 548,574,930,304,410 is 5558133840.

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

• LCM of 733, 210, 830, 240, 985
• LCM of 728, 661, 767, 700, 752
• LCM of 319, 162, 255, 535, 462
• LCM of 112, 709, 989, 675, 221
• LCM of 714, 896, 625, 598, 829

1. What is the LCM of 548, 574, 930, 304, 410?

Answer: LCM of 548, 574, 930, 304, 410 is 5558133840.

2. How to calculate the LCM of 548, 574, 930, 304, 410?

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, 574, 930, 304, 410.

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}.