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LCM of 797, 244, 278, 990

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


Find the LCM of 797, 244, 278, 990 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 797, 244, 278, 990. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 797,244,278,990

Given numbers are 797,244,278,990

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

The LCM of 797,244,278,990 is 13380370740.

Find LCM of 797,244,278,990 with Prime Factorization


2 797, 244, 278, 990
797, 122, 139, 495

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

2 x 797 x 122 x 139 x 495 = 13380370740

Therefore, the lowest common multiple of 797,244,278,990 is 13380370740.

LCM Formula to Find Lowest Common Multiple of 797,244,278,990

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.

797 x 244 x 278 x 990 = 53521482960

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.

797 : 1, 797

244 : 1, 2, 4, 61, 122, 244

278 : 1, 2, 139, 278

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,244,278,990, is 1.

Now, the common factors can be found like this.

797:797

244:2x 2x 61

278:2x 139

990:2x 3x 3x 5x 11

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 = 53521482960/(1x4)

LCM = 53521482960/4

LCM = 13380370740

Thus, we can understand that the LCM of 797,244,278,990 is 13380370740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 797, 244, 278, 990

1. What is the LCM of 797, 244, 278, 990?

Answer: LCM of 797, 244, 278, 990 is 13380370740.

2. How to calculate the LCM of 797, 244, 278, 990?

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 797, 244, 278, 990.

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}.