LCM of 161, 982, 897, 735, 554
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 161, 982, 897, 735, 554 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 161, 982, 897, 735, 554. So, keep reading to learn more.
Given numbers are 161,982,897,735,554
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 161,982,897,735,554 is 59779156710.
Find LCM of 161,982,897,735,554 with Prime Factorization
| 2 | 161, 982, 897, 735, 554 |
| 3 | 161, 491, 897, 735, 277 |
| 7 | 161, 491, 299, 245, 277 |
| 23 | 23, 491, 299, 35, 277 |
| 1, 491, 13, 35, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 1 x 491 x 13 x 35 x 277 = 59779156710
Therefore, the lowest common multiple of 161,982,897,735,554 is 59779156710.
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.
161 x 982 x 897 x 735 x 554 = 57746665381860
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.
161 : 1, 7, 23, 161
982 : 1, 2, 491, 982
897 : 1, 3, 13, 23, 39, 69, 299, 897
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
554 : 1, 2, 277, 554
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,982,897,735,554, is 1.
Now, the common factors can be found like this.
161:7x 23
982:2x 491
897:3x 13x 23
735:3x 5x 7x 7
554:2x 277
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 7x 23 = 966
Therefore, the value for common factors is 966.
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 = 57746665381860/(1x966)
LCM = 57746665381860/966
LCM = 59779156710
Thus, we can understand that the LCM of 161,982,897,735,554 is 59779156710.
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FAQs on LCM of 161, 982, 897, 735, 554
1. What is the LCM of 161, 982, 897, 735, 554?
Answer: LCM of 161, 982, 897, 735, 554 is 59779156710.
2. How to calculate the LCM of 161, 982, 897, 735, 554?
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 161, 982, 897, 735, 554.
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}.