Given numbers are 503,541,721,560,749

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

The LCM of 503,541,721,560,749 is 1679477846480.

Find LCM of 503,541,721,560,749 with Prime Factorization

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

7 x 503 x 541 x 103 x 80 x 107 = 1679477846480

Therefore, the lowest common multiple of 503,541,721,560,749 is 1679477846480.

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.

503 x 541 x 721 x 560 x 749 = 82294414477520

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.

503 : 1, 503

541 : 1, 541

721 : 1, 7, 103, 721

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

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 503,541,721,560,749, is 1.

Now, the common factors can be found like this.

503:503

541:541

721:7x 103

560:2x 2x 2x 2x 5x 7

749:7x 107

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

7x 7 = 49

Therefore, the value for common factors is 49.

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 = 82294414477520/(1x49)

LCM = 82294414477520/49

LCM = 1679477846480

Thus, we can understand that the LCM of 503,541,721,560,749 is 1679477846480.

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

• LCM of 969, 876, 162, 412, 359
• LCM of 909, 619, 867, 123, 888
• LCM of 173, 816, 413, 521, 654
• LCM of 742, 115, 652, 929, 988
• LCM of 685, 282, 234, 731, 579

1. What is the LCM of 503, 541, 721, 560, 749?

Answer: LCM of 503, 541, 721, 560, 749 is 1679477846480.

2. How to calculate the LCM of 503, 541, 721, 560, 749?

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 503, 541, 721, 560, 749.

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}.