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LCM of 903, 169, 313, 689, 551

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


Find the LCM of 903, 169, 313, 689, 551 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 903, 169, 313, 689, 551. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 903,169,313,689,551

Given numbers are 903,169,313,689,551

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

The LCM of 903,169,313,689,551 is 1394910235173.

Find LCM of 903,169,313,689,551 with Prime Factorization


13 903, 169, 313, 689, 551
903, 13, 313, 53, 551

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

13 x 903 x 13 x 313 x 53 x 551 = 1394910235173

Therefore, the lowest common multiple of 903,169,313,689,551 is 1394910235173.

LCM Formula to Find Lowest Common Multiple of 903,169,313,689,551

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.

903 x 169 x 313 x 689 x 551 = 18133833057249

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.

903 : 1, 3, 7, 21, 43, 129, 301, 903

169 : 1, 13, 169

313 : 1, 313

689 : 1, 13, 53, 689

551 : 1, 19, 29, 551

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 903,169,313,689,551, is 1.

Now, the common factors can be found like this.

903:3x 7x 43

169:13x 13

313:313

689:13x 53

551:19x 29

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

13 = 13

Therefore, the value for common factors is 13.

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 = 18133833057249/(1x13)

LCM = 18133833057249/13

LCM = 1394910235173

Thus, we can understand that the LCM of 903,169,313,689,551 is 1394910235173.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 903, 169, 313, 689, 551

1. What is the LCM of 903, 169, 313, 689, 551?

Answer: LCM of 903, 169, 313, 689, 551 is 1394910235173.

2. How to calculate the LCM of 903, 169, 313, 689, 551?

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 903, 169, 313, 689, 551.

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}.