LCM of 843, 961, 698, 567, 216
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 843, 961, 698, 567, 216 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 843, 961, 698, 567, 216. So, keep reading to learn more.
Given numbers are 843,961,698,567,216
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,961,698,567,216 is 427492185624.
Find LCM of 843,961,698,567,216 with Prime Factorization
| 2 | 843, 961, 698, 567, 216 |
| 3 | 843, 961, 349, 567, 108 |
| 3 | 281, 961, 349, 189, 36 |
| 3 | 281, 961, 349, 63, 12 |
| 281, 961, 349, 21, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 281 x 961 x 349 x 21 x 4 = 427492185624
Therefore, the lowest common multiple of 843,961,698,567,216 is 427492185624.
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.
843 x 961 x 698 x 567 x 216 = 69253734071088
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.
843 : 1, 3, 281, 843
961 : 1, 31, 961
698 : 1, 2, 349, 698
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,961,698,567,216, is 1.
Now, the common factors can be found like this.
843:3x 281
961:31x 31
698:2x 349
567:3x 3x 3x 3x 7
216:2x 2x 2x 3x 3x 3
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 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 69253734071088/(1x162)
LCM = 69253734071088/162
LCM = 427492185624
Thus, we can understand that the LCM of 843,961,698,567,216 is 427492185624.
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FAQs on LCM of 843, 961, 698, 567, 216
1. What is the LCM of 843, 961, 698, 567, 216?
Answer: LCM of 843, 961, 698, 567, 216 is 427492185624.
2. How to calculate the LCM of 843, 961, 698, 567, 216?
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 843, 961, 698, 567, 216.
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}.