LCM of 854, 198, 584, 672, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 854, 198, 584, 672, 221 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 854, 198, 584, 672, 221. So, keep reading to learn more.
Given numbers are 854,198,584,672,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 854,198,584,672,221 is 21823689888.
Find LCM of 854,198,584,672,221 with Prime Factorization
| 2 | 854, 198, 584, 672, 221 |
| 2 | 427, 99, 292, 336, 221 |
| 2 | 427, 99, 146, 168, 221 |
| 3 | 427, 99, 73, 84, 221 |
| 7 | 427, 33, 73, 28, 221 |
| 61, 33, 73, 4, 221 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 61 x 33 x 73 x 4 x 221 = 21823689888
Therefore, the lowest common multiple of 854,198,584,672,221 is 21823689888.
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.
854 x 198 x 584 x 672 x 221 = 14665519604736
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.
854 : 1, 2, 7, 14, 61, 122, 427, 854
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
584 : 1, 2, 4, 8, 73, 146, 292, 584
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,198,584,672,221, is 1.
Now, the common factors can be found like this.
854:2x 7x 61
198:2x 3x 3x 11
584:2x 2x 2x 73
672:2x 2x 2x 2x 2x 3x 7
221:13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 3x 7 = 672
Therefore, the value for common factors is 672.
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 = 14665519604736/(1x672)
LCM = 14665519604736/672
LCM = 21823689888
Thus, we can understand that the LCM of 854,198,584,672,221 is 21823689888.
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FAQs on LCM of 854, 198, 584, 672, 221
1. What is the LCM of 854, 198, 584, 672, 221?
Answer: LCM of 854, 198, 584, 672, 221 is 21823689888.
2. How to calculate the LCM of 854, 198, 584, 672, 221?
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 854, 198, 584, 672, 221.
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}.