Given numbers are 992,810,367,157,514

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

The LCM of 992,810,367,157,514 is 5949295426080.

Find LCM of 992,810,367,157,514 with Prime Factorization

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

2 x 496 x 405 x 367 x 157 x 257 = 5949295426080

Therefore, the lowest common multiple of 992,810,367,157,514 is 5949295426080.

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.

992 x 810 x 367 x 157 x 514 = 23797181704320

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.

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

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

367 : 1, 367

157 : 1, 157

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,810,367,157,514, is 1.

Now, the common factors can be found like this.

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

810:2x 3x 3x 3x 3x 5

367:367

157:157

514:2x 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 = 23797181704320/(1x4)

LCM = 23797181704320/4

LCM = 5949295426080

Thus, we can understand that the LCM of 992,810,367,157,514 is 5949295426080.

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

• LCM of 113, 763, 750, 945, 317
• LCM of 475, 191, 534, 192, 868
• LCM of 782, 256, 399, 509, 111
• LCM of 751, 310, 328, 205, 706
• LCM of 340, 281, 340, 157, 222

1. What is the LCM of 992, 810, 367, 157, 514?

Answer: LCM of 992, 810, 367, 157, 514 is 5949295426080.

2. How to calculate the LCM of 992, 810, 367, 157, 514?

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 992, 810, 367, 157, 514.

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}.