LCM of 220, 926, 476, 418, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 926, 476, 418, 678 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 220, 926, 476, 418, 678. So, keep reading to learn more.
Given numbers are 220,926,476,418,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,926,476,418,678 is 78073550940.
Find LCM of 220,926,476,418,678 with Prime Factorization
| 2 | 220, 926, 476, 418, 678 |
| 2 | 110, 463, 238, 209, 339 |
| 11 | 55, 463, 119, 209, 339 |
| 5, 463, 119, 19, 339 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 5 x 463 x 119 x 19 x 339 = 78073550940
Therefore, the lowest common multiple of 220,926,476,418,678 is 78073550940.
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.
220 x 926 x 476 x 418 x 678 = 27481889930880
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
926 : 1, 2, 463, 926
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
418 : 1, 2, 11, 19, 22, 38, 209, 418
678 : 1, 2, 3, 6, 113, 226, 339, 678
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,926,476,418,678, is 2.
Now, the common factors can be found like this.
220:2x 2x 5x 11
926:2x 463
476:2x 2x 7x 17
418:2x 11x 19
678:2x 3x 113
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 11 = 176
Therefore, the value for common factors is 176.
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 = 27481889930880/(2x176)
LCM = 27481889930880/352
LCM = 78073550940
Thus, we can understand that the LCM of 220,926,476,418,678 is 78073550940.
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FAQs on LCM of 220, 926, 476, 418, 678
1. What is the LCM of 220, 926, 476, 418, 678?
Answer: LCM of 220, 926, 476, 418, 678 is 78073550940.
2. How to calculate the LCM of 220, 926, 476, 418, 678?
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 220, 926, 476, 418, 678.
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}.