Given numbers are 738,986,235,992,257

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

The LCM of 738,986,235,992,257 is 10898982197280.

Find LCM of 738,986,235,992,257 with Prime Factorization

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

2 x 369 x 493 x 235 x 496 x 257 = 10898982197280

Therefore, the lowest common multiple of 738,986,235,992,257 is 10898982197280.

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.

738 x 986 x 235 x 992 x 257 = 43595928789120

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

986 : 1, 2, 17, 29, 34, 58, 493, 986

235 : 1, 5, 47, 235

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,986,235,992,257, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

986:2x 17x 29

235:5x 47

992:2x 2x 2x 2x 2x 31

257:257

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 43595928789120/(1x4)

LCM = 43595928789120/4

LCM = 10898982197280

Thus, we can understand that the LCM of 738,986,235,992,257 is 10898982197280.

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

• LCM of 831, 191, 437, 870, 655
• LCM of 276, 783, 848, 863, 662
• LCM of 103, 322, 970, 521, 791
• LCM of 593, 832, 125, 535, 309
• LCM of 944, 801, 217, 710, 824

1. What is the LCM of 738, 986, 235, 992, 257?

Answer: LCM of 738, 986, 235, 992, 257 is 10898982197280.

2. How to calculate the LCM of 738, 986, 235, 992, 257?

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 738, 986, 235, 992, 257.

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}.