Given numbers are 628,936,634,700,269

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

The LCM of 628,936,634,700,269 is 2192931631800.

Find LCM of 628,936,634,700,269 with Prime Factorization

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

2 x 2 x 157 x 234 x 317 x 175 x 269 = 2192931631800

Therefore, the lowest common multiple of 628,936,634,700,269 is 2192931631800.

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.

628 x 936 x 634 x 700 x 269 = 70173812217600

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.

628 : 1, 2, 4, 157, 314, 628

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

634 : 1, 2, 317, 634

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,936,634,700,269, is 1.

Now, the common factors can be found like this.

628:2x 2x 157

936:2x 2x 2x 3x 3x 13

634:2x 317

700:2x 2x 5x 5x 7

269:269

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 2 = 32

Therefore, the value for common factors is 32.

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 = 70173812217600/(1x32)

LCM = 70173812217600/32

LCM = 2192931631800

Thus, we can understand that the LCM of 628,936,634,700,269 is 2192931631800.

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

• LCM of 149, 280, 786, 842, 352
• LCM of 203, 819, 982, 678, 728
• LCM of 814, 384, 138, 206, 925
• LCM of 649, 217, 886, 909, 641
• LCM of 246, 976, 774, 808, 304

1. What is the LCM of 628, 936, 634, 700, 269?

Answer: LCM of 628, 936, 634, 700, 269 is 2192931631800.

2. How to calculate the LCM of 628, 936, 634, 700, 269?

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 628, 936, 634, 700, 269.

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}.