LCM of 243, 902, 897, 258, 697
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 243, 902, 897, 258, 697 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 243, 902, 897, 258, 697. So, keep reading to learn more.
Given numbers are 243,902,897,258,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 243,902,897,258,697 is 47907264834.
Find LCM of 243,902,897,258,697 with Prime Factorization
| 2 | 243, 902, 897, 258, 697 |
| 3 | 243, 451, 897, 129, 697 |
| 41 | 81, 451, 299, 43, 697 |
| 81, 11, 299, 43, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 41 x 81 x 11 x 299 x 43 x 17 = 47907264834
Therefore, the lowest common multiple of 243,902,897,258,697 is 47907264834.
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.
243 x 902 x 897 x 258 x 697 = 35355561447492
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.
243 : 1, 3, 9, 27, 81, 243
902 : 1, 2, 11, 22, 41, 82, 451, 902
897 : 1, 3, 13, 23, 39, 69, 299, 897
258 : 1, 2, 3, 6, 43, 86, 129, 258
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,902,897,258,697, is 1.
Now, the common factors can be found like this.
243:3x 3x 3x 3x 3
902:2x 11x 41
897:3x 13x 23
258:2x 3x 43
697:17x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 41 = 738
Therefore, the value for common factors is 738.
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 = 35355561447492/(1x738)
LCM = 35355561447492/738
LCM = 47907264834
Thus, we can understand that the LCM of 243,902,897,258,697 is 47907264834.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 243, 902, 897, 258, 697
1. What is the LCM of 243, 902, 897, 258, 697?
Answer: LCM of 243, 902, 897, 258, 697 is 47907264834.
2. How to calculate the LCM of 243, 902, 897, 258, 697?
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 243, 902, 897, 258, 697.
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}.