LCM of 277, 794, 364, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 277, 794, 364, 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 277, 794, 364, 221. So, keep reading to learn more.
Given numbers are 277,794,364,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 277,794,364,221 is 680488172.
Find LCM of 277,794,364,221 with Prime Factorization
| 2 | 277, 794, 364, 221 |
| 13 | 277, 397, 182, 221 |
| 277, 397, 14, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 277 x 397 x 14 x 17 = 680488172
Therefore, the lowest common multiple of 277,794,364,221 is 680488172.
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.
277 x 794 x 364 x 221 = 17692692472
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.
277 : 1, 277
794 : 1, 2, 397, 794
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,794,364,221, is 1.
Now, the common factors can be found like this.
277:277
794:2x 397
364:2x 2x 7x 13
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 13 = 26
Therefore, the value for common factors is 26.
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 = 17692692472/(1x26)
LCM = 17692692472/26
LCM = 680488172
Thus, we can understand that the LCM of 277,794,364,221 is 680488172.
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FAQs on LCM of 277, 794, 364, 221
1. What is the LCM of 277, 794, 364, 221?
Answer: LCM of 277, 794, 364, 221 is 680488172.
2. How to calculate the LCM of 277, 794, 364, 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 277, 794, 364, 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}.