LCM of 277, 378, 221, 119, 297
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 277, 378, 221, 119, 297 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, 378, 221, 119, 297. So, keep reading to learn more.
Given numbers are 277,378,221,119,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 277,378,221,119,297 is 254540286.
Find LCM of 277,378,221,119,297 with Prime Factorization
| 3 | 277, 378, 221, 119, 297 |
| 3 | 277, 126, 221, 119, 99 |
| 3 | 277, 42, 221, 119, 33 |
| 7 | 277, 14, 221, 119, 11 |
| 17 | 277, 2, 221, 17, 11 |
| 277, 2, 13, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 7 x 17 x 277 x 2 x 13 x 1 x 11 = 254540286
Therefore, the lowest common multiple of 277,378,221,119,297 is 254540286.
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 378 x 221 x 119 x 297 = 817837938918
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
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
221 : 1, 13, 17, 221
119 : 1, 7, 17, 119
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,378,221,119,297, is 1.
Now, the common factors can be found like this.
277:277
378:2x 3x 3x 3x 7
221:13x 17
119:7x 17
297:3x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7x 17 = 3213
Therefore, the value for common factors is 3213.
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 = 817837938918/(1x3213)
LCM = 817837938918/3213
LCM = 254540286
Thus, we can understand that the LCM of 277,378,221,119,297 is 254540286.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 277, 378, 221, 119, 297
1. What is the LCM of 277, 378, 221, 119, 297?
Answer: LCM of 277, 378, 221, 119, 297 is 254540286.
2. How to calculate the LCM of 277, 378, 221, 119, 297?
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, 378, 221, 119, 297.
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}.