Given numbers are 716,125,344,842,924

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

The LCM of 716,125,344,842,924 is 748540947000.

Find LCM of 716,125,344,842,924 with Prime Factorization

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

2 x 2 x 179 x 125 x 86 x 421 x 231 = 748540947000

Therefore, the lowest common multiple of 716,125,344,842,924 is 748540947000.

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.

716 x 125 x 344 x 842 x 924 = 23953310304000

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.

716 : 1, 2, 4, 179, 358, 716

125 : 1, 5, 25, 125

344 : 1, 2, 4, 8, 43, 86, 172, 344

842 : 1, 2, 421, 842

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,125,344,842,924, is 1.

Now, the common factors can be found like this.

716:2x 2x 179

125:5x 5x 5

344:2x 2x 2x 43

842:2x 421

924:2x 2x 3x 7x 11

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 = 23953310304000/(1x32)

LCM = 23953310304000/32

LCM = 748540947000

Thus, we can understand that the LCM of 716,125,344,842,924 is 748540947000.

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

• LCM of 307, 593, 706, 173, 857
• LCM of 832, 780, 529, 582, 271
• LCM of 710, 819, 121, 464, 974
• LCM of 578, 223, 998, 936, 440
• LCM of 938, 435, 609, 239, 418

1. What is the LCM of 716, 125, 344, 842, 924?

Answer: LCM of 716, 125, 344, 842, 924 is 748540947000.

2. How to calculate the LCM of 716, 125, 344, 842, 924?

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 716, 125, 344, 842, 924.

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}.