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LCM of 989, 759, 793, 295, 626

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


Find the LCM of 989, 759, 793, 295, 626 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 989, 759, 793, 295, 626. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 989,759,793,295,626

Given numbers are 989,759,793,295,626

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

The LCM of 989,759,793,295,626 is 4779470308470.

Find LCM of 989,759,793,295,626 with Prime Factorization


23 989, 759, 793, 295, 626
43, 33, 793, 295, 626

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

23 x 43 x 33 x 793 x 295 x 626 = 4779470308470

Therefore, the lowest common multiple of 989,759,793,295,626 is 4779470308470.

LCM Formula to Find Lowest Common Multiple of 989,759,793,295,626

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.

989 x 759 x 793 x 295 x 626 = 109927817094810

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.

989 : 1, 23, 43, 989

759 : 1, 3, 11, 23, 33, 69, 253, 759

793 : 1, 13, 61, 793

295 : 1, 5, 59, 295

626 : 1, 2, 313, 626

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,759,793,295,626, is 1.

Now, the common factors can be found like this.

989:23x 43

759:3x 11x 23

793:13x 61

295:5x 59

626:2x 313

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

23 = 23

Therefore, the value for common factors is 23.

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 = 109927817094810/(1x23)

LCM = 109927817094810/23

LCM = 4779470308470

Thus, we can understand that the LCM of 989,759,793,295,626 is 4779470308470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 989, 759, 793, 295, 626

1. What is the LCM of 989, 759, 793, 295, 626?

Answer: LCM of 989, 759, 793, 295, 626 is 4779470308470.

2. How to calculate the LCM of 989, 759, 793, 295, 626?

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 989, 759, 793, 295, 626.

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}.