LCM of 671, 538, 269, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 538, 269, 897 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 671, 538, 269, 897. So, keep reading to learn more.
Given numbers are 671,538,269,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,538,269,897 is 323815206.
Find LCM of 671,538,269,897 with Prime Factorization
| 269 | 671, 538, 269, 897 |
| 671, 2, 1, 897 |
Multiply the prime numbers at the bottom and the left side.
269 x 671 x 2 x 1 x 897 = 323815206
Therefore, the lowest common multiple of 671,538,269,897 is 323815206.
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.
671 x 538 x 269 x 897 = 87106290414
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.
671 : 1, 11, 61, 671
538 : 1, 2, 269, 538
269 : 1, 269
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,538,269,897, is 1.
Now, the common factors can be found like this.
671:11x 61
538:2x 269
269:269
897:3x 13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
269 = 269
Therefore, the value for common factors is 269.
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 = 87106290414/(1x269)
LCM = 87106290414/269
LCM = 323815206
Thus, we can understand that the LCM of 671,538,269,897 is 323815206.
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FAQs on LCM of 671, 538, 269, 897
1. What is the LCM of 671, 538, 269, 897?
Answer: LCM of 671, 538, 269, 897 is 323815206.
2. How to calculate the LCM of 671, 538, 269, 897?
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 671, 538, 269, 897.
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}.