Given numbers are 678,729,936,570,202

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

The LCM of 678,729,936,570,202 is 82202360760.

Find LCM of 678,729,936,570,202 with Prime Factorization

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

2 x 3 x 3 x 113 x 81 x 52 x 95 x 101 = 82202360760

Therefore, the lowest common multiple of 678,729,936,570,202 is 82202360760.

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.

678 x 729 x 936 x 570 x 202 = 53267129772480

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

729 : 1, 3, 9, 27, 81, 243, 729

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

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

202 : 1, 2, 101, 202

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,729,936,570,202, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

729:3x 3x 3x 3x 3x 3

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

570:2x 3x 5x 19

202:2x 101

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 3x 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 53267129772480/(1x648)

LCM = 53267129772480/648

LCM = 82202360760

Thus, we can understand that the LCM of 678,729,936,570,202 is 82202360760.

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

• LCM of 871, 852, 455, 308, 456
• LCM of 324, 608, 299, 454, 627
• LCM of 865, 795, 234, 173, 288
• LCM of 804, 973, 147, 199, 400
• LCM of 534, 906, 275, 781, 424

1. What is the LCM of 678, 729, 936, 570, 202?

Answer: LCM of 678, 729, 936, 570, 202 is 82202360760.

2. How to calculate the LCM of 678, 729, 936, 570, 202?

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 678, 729, 936, 570, 202.

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}.