LCM of 441, 684, 418, 371, 556
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 441, 684, 418, 371, 556 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 441, 684, 418, 371, 556. So, keep reading to learn more.
Given numbers are 441,684,418,371,556
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 441,684,418,371,556 is 2716036092.
Find LCM of 441,684,418,371,556 with Prime Factorization
| 2 | 441, 684, 418, 371, 556 |
| 2 | 441, 342, 209, 371, 278 |
| 3 | 441, 171, 209, 371, 139 |
| 3 | 147, 57, 209, 371, 139 |
| 7 | 49, 19, 209, 371, 139 |
| 19 | 7, 19, 209, 53, 139 |
| 7, 1, 11, 53, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 19 x 7 x 1 x 11 x 53 x 139 = 2716036092
Therefore, the lowest common multiple of 441,684,418,371,556 is 2716036092.
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.
441 x 684 x 418 x 371 x 556 = 26008761616992
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.
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
418 : 1, 2, 11, 19, 22, 38, 209, 418
371 : 1, 7, 53, 371
556 : 1, 2, 4, 139, 278, 556
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,684,418,371,556, is 1.
Now, the common factors can be found like this.
441:3x 3x 7x 7
684:2x 2x 3x 3x 19
418:2x 11x 19
371:7x 53
556:2x 2x 139
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 3x 3x 7x 19 = 9576
Therefore, the value for common factors is 9576.
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 = 26008761616992/(1x9576)
LCM = 26008761616992/9576
LCM = 2716036092
Thus, we can understand that the LCM of 441,684,418,371,556 is 2716036092.
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FAQs on LCM of 441, 684, 418, 371, 556
1. What is the LCM of 441, 684, 418, 371, 556?
Answer: LCM of 441, 684, 418, 371, 556 is 2716036092.
2. How to calculate the LCM of 441, 684, 418, 371, 556?
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 441, 684, 418, 371, 556.
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}.