Given numbers are 728,483,277,644,988

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

The LCM of 728,483,277,644,988 is 264371016.

Find LCM of 728,483,277,644,988 with Prime Factorization

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

2 x 2 x 7 x 13 x 23 x 2 x 3 x 277 x 1 x 19 = 264371016

Therefore, the lowest common multiple of 728,483,277,644,988 is 264371016.

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.

728 x 483 x 277 x 644 x 988 = 61972796086656

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

483 : 1, 3, 7, 21, 23, 69, 161, 483

277 : 1, 277

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,483,277,644,988, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

483:3x 7x 23

277:277

644:2x 2x 7x 23

988:2x 2x 13x 19

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 7x 7x 13x 23 = 234416

Therefore, the value for common factors is 234416.

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 = 61972796086656/(1x234416)

LCM = 61972796086656/234416

LCM = 264371016

Thus, we can understand that the LCM of 728,483,277,644,988 is 264371016.

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

• LCM of 795, 915, 227, 751, 490
• LCM of 912, 154, 846, 429, 534
• LCM of 920, 198, 726, 231, 672
• LCM of 979, 566, 882, 678, 850
• LCM of 129, 389, 828, 443, 879

1. What is the LCM of 728, 483, 277, 644, 988?

Answer: LCM of 728, 483, 277, 644, 988 is 264371016.

2. How to calculate the LCM of 728, 483, 277, 644, 988?

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 728, 483, 277, 644, 988.

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}.