Given numbers are 973,303,405,723,228

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

The LCM of 973,303,405,723,228 is 728987148540.

Find LCM of 973,303,405,723,228 with Prime Factorization

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

3 x 973 x 101 x 135 x 241 x 76 = 728987148540

Therefore, the lowest common multiple of 973,303,405,723,228 is 728987148540.

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.

973 x 303 x 405 x 723 x 228 = 19682653010580

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.

973 : 1, 7, 139, 973

303 : 1, 3, 101, 303

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

723 : 1, 3, 241, 723

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,303,405,723,228, is 1.

Now, the common factors can be found like this.

973:7x 139

303:3x 101

405:3x 3x 3x 3x 5

723:3x 241

228:2x 2x 3x 19

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 19682653010580/(1x27)

LCM = 19682653010580/27

LCM = 728987148540

Thus, we can understand that the LCM of 973,303,405,723,228 is 728987148540.

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

• LCM of 358, 871, 768, 308, 889
• LCM of 514, 614, 743, 324, 609
• LCM of 632, 103, 299, 179, 932
• LCM of 762, 546, 264, 325, 406
• LCM of 162, 948, 510, 670, 668

1. What is the LCM of 973, 303, 405, 723, 228?

Answer: LCM of 973, 303, 405, 723, 228 is 728987148540.

2. How to calculate the LCM of 973, 303, 405, 723, 228?

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 973, 303, 405, 723, 228.

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}.