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LCM of 798, 781, 994, 647, 445

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


Find the LCM of 798, 781, 994, 647, 445 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 798, 781, 994, 647, 445. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 798,781,994,647,445

Given numbers are 798,781,994,647,445

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

The LCM of 798,781,994,647,445 is 179439568770.

Find LCM of 798,781,994,647,445 with Prime Factorization


2 798, 781, 994, 647, 445
7 399, 781, 497, 647, 445
71 57, 781, 71, 647, 445
57, 11, 1, 647, 445

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

2 x 7 x 71 x 57 x 11 x 1 x 647 x 445 = 179439568770

Therefore, the lowest common multiple of 798,781,994,647,445 is 179439568770.

LCM Formula to Find Lowest Common Multiple of 798,781,994,647,445

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.

798 x 781 x 994 x 647 x 445 = 178362931357380

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.

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

781 : 1, 11, 71, 781

994 : 1, 2, 7, 14, 71, 142, 497, 994

647 : 1, 647

445 : 1, 5, 89, 445

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,781,994,647,445, is 1.

Now, the common factors can be found like this.

798:2x 3x 7x 19

781:11x 71

994:2x 7x 71

647:647

445:5x 89

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

2x 7x 71 = 994

Therefore, the value for common factors is 994.

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 = 178362931357380/(1x994)

LCM = 178362931357380/994

LCM = 179439568770

Thus, we can understand that the LCM of 798,781,994,647,445 is 179439568770.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 798, 781, 994, 647, 445

1. What is the LCM of 798, 781, 994, 647, 445?

Answer: LCM of 798, 781, 994, 647, 445 is 179439568770.

2. How to calculate the LCM of 798, 781, 994, 647, 445?

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 798, 781, 994, 647, 445.

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}.