LCM of 179, 253, 697, 897, 139
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 179, 253, 697, 897, 139 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 179, 253, 697, 897, 139. So, keep reading to learn more.
Given numbers are 179,253,697,897,139
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 179,253,697,897,139 is 171114076419.
Find LCM of 179,253,697,897,139 with Prime Factorization
| 23 | 179, 253, 697, 897, 139 |
| 179, 11, 697, 39, 139 |
Multiply the prime numbers at the bottom and the left side.
23 x 179 x 11 x 697 x 39 x 139 = 171114076419
Therefore, the lowest common multiple of 179,253,697,897,139 is 171114076419.
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.
179 x 253 x 697 x 897 x 139 = 3935623757637
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.
179 : 1, 179
253 : 1, 11, 23, 253
697 : 1, 17, 41, 697
897 : 1, 3, 13, 23, 39, 69, 299, 897
139 : 1, 139
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 179,253,697,897,139, is 1.
Now, the common factors can be found like this.
179:179
253:11x 23
697:17x 41
897:3x 13x 23
139:139
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 = 3935623757637/(1x23)
LCM = 3935623757637/23
LCM = 171114076419
Thus, we can understand that the LCM of 179,253,697,897,139 is 171114076419.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 179, 253, 697, 897, 139
1. What is the LCM of 179, 253, 697, 897, 139?
Answer: LCM of 179, 253, 697, 897, 139 is 171114076419.
2. How to calculate the LCM of 179, 253, 697, 897, 139?
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 179, 253, 697, 897, 139.
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}.