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LCM of 422, 792, 107, 278, 844

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


Find the LCM of 422, 792, 107, 278, 844 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 422, 792, 107, 278, 844. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 422,792,107,278,844

Given numbers are 422,792,107,278,844

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

The LCM of 422,792,107,278,844 is 2485456776.

Find LCM of 422,792,107,278,844 with Prime Factorization


2 422, 792, 107, 278, 844
2 211, 396, 107, 139, 422
211 211, 198, 107, 139, 211
1, 198, 107, 139, 1

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

2 x 2 x 211 x 1 x 198 x 107 x 139 x 1 = 2485456776

Therefore, the lowest common multiple of 422,792,107,278,844 is 2485456776.

LCM Formula to Find Lowest Common Multiple of 422,792,107,278,844

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.

422 x 792 x 107 x 278 x 844 = 8390902075776

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.

422 : 1, 2, 211, 422

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

107 : 1, 107

278 : 1, 2, 139, 278

844 : 1, 2, 4, 211, 422, 844

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,792,107,278,844, is 1.

Now, the common factors can be found like this.

422:2x 211

792:2x 2x 2x 3x 3x 11

107:107

278:2x 139

844:2x 2x 211

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 211 = 3376

Therefore, the value for common factors is 3376.

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 = 8390902075776/(1x3376)

LCM = 8390902075776/3376

LCM = 2485456776

Thus, we can understand that the LCM of 422,792,107,278,844 is 2485456776.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 422, 792, 107, 278, 844

1. What is the LCM of 422, 792, 107, 278, 844?

Answer: LCM of 422, 792, 107, 278, 844 is 2485456776.

2. How to calculate the LCM of 422, 792, 107, 278, 844?

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 422, 792, 107, 278, 844.

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}.