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LCM of 445, 598, 992, 314, 649

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 445, 598, 992, 314, 649 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 445, 598, 992, 314, 649. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 445,598,992,314,649

Given numbers are 445,598,992,314,649

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

The LCM of 445,598,992,314,649 is 13448914130080.

Find LCM of 445,598,992,314,649 with Prime Factorization


2 445, 598, 992, 314, 649
445, 299, 496, 157, 649

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

2 x 445 x 299 x 496 x 157 x 649 = 13448914130080

Therefore, the lowest common multiple of 445,598,992,314,649 is 13448914130080.

LCM Formula to Find Lowest Common Multiple of 445,598,992,314,649

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.

445 x 598 x 992 x 314 x 649 = 53795656520320

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.

445 : 1, 5, 89, 445

598 : 1, 2, 13, 23, 26, 46, 299, 598

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

314 : 1, 2, 157, 314

649 : 1, 11, 59, 649

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 445,598,992,314,649, is 1.

Now, the common factors can be found like this.

445:5x 89

598:2x 13x 23

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

314:2x 157

649:11x 59

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 = 53795656520320/(1x4)

LCM = 53795656520320/4

LCM = 13448914130080

Thus, we can understand that the LCM of 445,598,992,314,649 is 13448914130080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 445, 598, 992, 314, 649

1. What is the LCM of 445, 598, 992, 314, 649?

Answer: LCM of 445, 598, 992, 314, 649 is 13448914130080.

2. How to calculate the LCM of 445, 598, 992, 314, 649?

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 445, 598, 992, 314, 649.

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}.