Given numbers are 442,201,277,480,560

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

The LCM of 442,201,277,480,560 is 13781171040.

Find LCM of 442,201,277,480,560 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 221 x 67 x 277 x 2 x 7 = 13781171040

Therefore, the lowest common multiple of 442,201,277,480,560 is 13781171040.

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.

442 x 201 x 277 x 480 x 560 = 6614962099200

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

201 : 1, 3, 67, 201

277 : 1, 277

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,201,277,480,560, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

201:3x 67

277:277

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

560:2x 2x 2x 2x 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 5 = 480

Therefore, the value for common factors is 480.

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 = 6614962099200/(1x480)

LCM = 6614962099200/480

LCM = 13781171040

Thus, we can understand that the LCM of 442,201,277,480,560 is 13781171040.

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

• LCM of 480, 641, 894, 979, 927
• LCM of 588, 670, 155, 827, 835
• LCM of 813, 362, 158, 516, 747
• LCM of 150, 243, 937, 548, 932
• LCM of 597, 215, 377, 556, 368

1. What is the LCM of 442, 201, 277, 480, 560?

Answer: LCM of 442, 201, 277, 480, 560 is 13781171040.

2. How to calculate the LCM of 442, 201, 277, 480, 560?

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 442, 201, 277, 480, 560.

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}.