LCM of 169, 989, 485, 851, 688
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 989, 485, 851, 688 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 169, 989, 485, 851, 688. So, keep reading to learn more.
Given numbers are 169,989,485,851,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,989,485,851,688 is 47989523920.
Find LCM of 169,989,485,851,688 with Prime Factorization
| 23 | 169, 989, 485, 851, 688 |
| 43 | 169, 43, 485, 37, 688 |
| 169, 1, 485, 37, 16 |
Multiply the prime numbers at the bottom and the left side.
23 x 43 x 169 x 1 x 485 x 37 x 16 = 47989523920
Therefore, the lowest common multiple of 169,989,485,851,688 is 47989523920.
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.
169 x 989 x 485 x 851 x 688 = 47461639156880
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.
169 : 1, 13, 169
989 : 1, 23, 43, 989
485 : 1, 5, 97, 485
851 : 1, 23, 37, 851
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,989,485,851,688, is 1.
Now, the common factors can be found like this.
169:13x 13
989:23x 43
485:5x 97
851:23x 37
688:2x 2x 2x 2x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23x 43 = 989
Therefore, the value for common factors is 989.
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 = 47461639156880/(1x989)
LCM = 47461639156880/989
LCM = 47989523920
Thus, we can understand that the LCM of 169,989,485,851,688 is 47989523920.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 169, 989, 485, 851, 688
1. What is the LCM of 169, 989, 485, 851, 688?
Answer: LCM of 169, 989, 485, 851, 688 is 47989523920.
2. How to calculate the LCM of 169, 989, 485, 851, 688?
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 169, 989, 485, 851, 688.
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}.