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LCM of 626, 436, 770, 990

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


Find the LCM of 626, 436, 770, 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 626, 436, 770, 990. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 626,436,770,990

Given numbers are 626,436,770,990

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

The LCM of 626,436,770,990 is 472861620.

Find LCM of 626,436,770,990 with Prime Factorization


2 626, 436, 770, 990
5 313, 218, 385, 495
11 313, 218, 77, 99
313, 218, 7, 9

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

2 x 5 x 11 x 313 x 218 x 7 x 9 = 472861620

Therefore, the lowest common multiple of 626,436,770,990 is 472861620.

LCM Formula to Find Lowest Common Multiple of 626,436,770,990

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.

626 x 436 x 770 x 990 = 208059112800

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.

626 : 1, 2, 313, 626

436 : 1, 2, 4, 109, 218, 436

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 626,436,770,990, is 2.

Now, the common factors can be found like this.

626:2x 313

436:2x 2x 109

770:2x 5x 7x 11

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 2x 5x 11 = 220

Therefore, the value for common factors is 220.

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 = 208059112800/(2x220)

LCM = 208059112800/440

LCM = 472861620

Thus, we can understand that the LCM of 626,436,770,990 is 472861620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 626, 436, 770, 990

1. What is the LCM of 626, 436, 770, 990?

Answer: LCM of 626, 436, 770, 990 is 472861620.

2. How to calculate the LCM of 626, 436, 770, 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 626, 436, 770, 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}.