Given numbers are 548,900,616,574

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

The LCM of 548,900,616,574 is 778516200.

Find LCM of 548,900,616,574 with Prime Factorization

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

2 x 2 x 7 x 137 x 225 x 22 x 41 = 778516200

Therefore, the lowest common multiple of 548,900,616,574 is 778516200.

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 900 x 616 x 574 = 174387628800

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

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,900,616,574, is 2.

Now, the common factors can be found like this.

548:2x 2x 137

900:2x 2x 3x 3x 5x 5

616:2x 2x 2x 7x 11

574:2x 7x 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 7 = 112

Therefore, the value for common factors is 112.

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 = 174387628800/(2x112)

LCM = 174387628800/224

LCM = 778516200

Thus, we can understand that the LCM of 548,900,616,574 is 778516200.

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

• LCM of 255, 990, 333, 284
• LCM of 829, 799, 372, 220
• LCM of 966, 433, 580, 207
• LCM of 644, 949, 889, 415
• LCM of 559, 727, 878, 281

1. What is the LCM of 548, 900, 616, 574?

Answer: LCM of 548, 900, 616, 574 is 778516200.

2. How to calculate the LCM of 548, 900, 616, 574?

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, 900, 616, 574.

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}.