Given numbers are 156,900,480,104,548

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

The LCM of 156,900,480,104,548 is 12823200.

Find LCM of 156,900,480,104,548 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 13 x 1 x 15 x 4 x 1 x 137 = 12823200

Therefore, the lowest common multiple of 156,900,480,104,548 is 12823200.

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.

156 x 900 x 480 x 104 x 548 = 3840804864000

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.

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

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

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 156,900,480,104,548, is 4.

Now, the common factors can be found like this.

156:2x 2x 3x 13

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

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

104:2x 2x 2x 13

548:2x 2x 137

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 2x 2x 3x 3x 5x 13 = 74880

Therefore, the value for common factors is 74880.

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 = 3840804864000/(4x74880)

LCM = 3840804864000/299520

LCM = 12823200

Thus, we can understand that the LCM of 156,900,480,104,548 is 12823200.

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

• LCM of 430, 904, 522, 865, 417
• LCM of 739, 393, 967, 131, 370
• LCM of 223, 152, 924, 899, 654
• LCM of 131, 981, 607, 799, 539
• LCM of 814, 736, 814, 446, 944

1. What is the LCM of 156, 900, 480, 104, 548?

Answer: LCM of 156, 900, 480, 104, 548 is 12823200.

2. How to calculate the LCM of 156, 900, 480, 104, 548?

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 156, 900, 480, 104, 548.

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}.