Given numbers are 548,480,738,276,525

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

The LCM of 548,480,738,276,525 is 6511226400.

Find LCM of 548,480,738,276,525 with Prime Factorization

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

2 x 2 x 3 x 5 x 137 x 8 x 123 x 23 x 35 = 6511226400

Therefore, the lowest common multiple of 548,480,738,276,525 is 6511226400.

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 480 x 738 x 276 x 525 = 28128498048000

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

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,480,738,276,525, is 1.

Now, the common factors can be found like this.

548:2x 2x 137

480:2x 2x 2x 2x 2x 3x 5

738:2x 3x 3x 41

276:2x 2x 3x 23

525:3x 5x 5x 7

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 3x 3x 3x 5 = 4320

Therefore, the value for common factors is 4320.

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 = 28128498048000/(1x4320)

LCM = 28128498048000/4320

LCM = 6511226400

Thus, we can understand that the LCM of 548,480,738,276,525 is 6511226400.

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

• LCM of 797, 939, 144, 231, 232
• LCM of 792, 571, 975, 394, 723
• LCM of 144, 889, 767, 993, 892
• LCM of 259, 966, 229, 222, 449
• LCM of 947, 296, 735, 141, 438

1. What is the LCM of 548, 480, 738, 276, 525?

Answer: LCM of 548, 480, 738, 276, 525 is 6511226400.

2. How to calculate the LCM of 548, 480, 738, 276, 525?

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, 480, 738, 276, 525.

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}.