Given numbers are 203,507,630,548,560

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

The LCM of 203,507,630,548,560 is 3384042480.

Find LCM of 203,507,630,548,560 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 29 x 169 x 3 x 137 x 4 = 3384042480

Therefore, the lowest common multiple of 203,507,630,548,560 is 3384042480.

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.

203 x 507 x 630 x 548 x 560 = 19898169782400

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.

203 : 1, 7, 29, 203

507 : 1, 3, 13, 39, 169, 507

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

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

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 203,507,630,548,560, is 1.

Now, the common factors can be found like this.

203:7x 29

507:3x 13x 13

630:2x 3x 3x 5x 7

548:2x 2x 137

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 3x 5x 7x 7 = 5880

Therefore, the value for common factors is 5880.

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 = 19898169782400/(1x5880)

LCM = 19898169782400/5880

LCM = 3384042480

Thus, we can understand that the LCM of 203,507,630,548,560 is 3384042480.

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

• LCM of 692, 657, 461, 261, 844
• LCM of 252, 340, 900, 815, 761
• LCM of 370, 708, 247, 431, 100
• LCM of 251, 371, 533, 548, 730
• LCM of 806, 933, 124, 535, 647

1. What is the LCM of 203, 507, 630, 548, 560?

Answer: LCM of 203, 507, 630, 548, 560 is 3384042480.

2. How to calculate the LCM of 203, 507, 630, 548, 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 203, 507, 630, 548, 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}.