LCM of 278, 748, 981, 418, 205
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 278, 748, 981, 418, 205 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 278, 748, 981, 418, 205. So, keep reading to learn more.
Given numbers are 278,748,981,418,205
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,748,981,418,205 is 397276492140.
Find LCM of 278,748,981,418,205 with Prime Factorization
| 2 | 278, 748, 981, 418, 205 |
| 11 | 139, 374, 981, 209, 205 |
| 139, 34, 981, 19, 205 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 139 x 34 x 981 x 19 x 205 = 397276492140
Therefore, the lowest common multiple of 278,748,981,418,205 is 397276492140.
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.
278 x 748 x 981 x 418 x 205 = 17480165654160
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.
278 : 1, 2, 139, 278
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
981 : 1, 3, 9, 109, 327, 981
418 : 1, 2, 11, 19, 22, 38, 209, 418
205 : 1, 5, 41, 205
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,748,981,418,205, is 1.
Now, the common factors can be found like this.
278:2x 139
748:2x 2x 11x 17
981:3x 3x 109
418:2x 11x 19
205:5x 41
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 11 = 44
Therefore, the value for common factors is 44.
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 = 17480165654160/(1x44)
LCM = 17480165654160/44
LCM = 397276492140
Thus, we can understand that the LCM of 278,748,981,418,205 is 397276492140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 278, 748, 981, 418, 205
1. What is the LCM of 278, 748, 981, 418, 205?
Answer: LCM of 278, 748, 981, 418, 205 is 397276492140.
2. How to calculate the LCM of 278, 748, 981, 418, 205?
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 278, 748, 981, 418, 205.
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}.