LCM of 840, 121, 484, 357, 886
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 840, 121, 484, 357, 886 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 840, 121, 484, 357, 886. So, keep reading to learn more.
Given numbers are 840,121,484,357,886
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 840,121,484,357,886 is 765450840.
Find LCM of 840,121,484,357,886 with Prime Factorization
| 2 | 840, 121, 484, 357, 886 |
| 2 | 420, 121, 242, 357, 443 |
| 3 | 210, 121, 121, 357, 443 |
| 7 | 70, 121, 121, 119, 443 |
| 11 | 10, 121, 121, 17, 443 |
| 11 | 10, 11, 11, 17, 443 |
| 10, 1, 1, 17, 443 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 11 x 10 x 1 x 1 x 17 x 443 = 765450840
Therefore, the lowest common multiple of 840,121,484,357,886 is 765450840.
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.
840 x 121 x 484 x 357 x 886 = 15560084675520
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.
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
121 : 1, 11, 121
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
357 : 1, 3, 7, 17, 21, 51, 119, 357
886 : 1, 2, 443, 886
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,121,484,357,886, is 1.
Now, the common factors can be found like this.
840:2x 2x 2x 3x 5x 7
121:11x 11
484:2x 2x 11x 11
357:3x 7x 17
886:2x 443
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 7x 11x 11 = 20328
Therefore, the value for common factors is 20328.
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 = 15560084675520/(1x20328)
LCM = 15560084675520/20328
LCM = 765450840
Thus, we can understand that the LCM of 840,121,484,357,886 is 765450840.
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FAQs on LCM of 840, 121, 484, 357, 886
1. What is the LCM of 840, 121, 484, 357, 886?
Answer: LCM of 840, 121, 484, 357, 886 is 765450840.
2. How to calculate the LCM of 840, 121, 484, 357, 886?
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 840, 121, 484, 357, 886.
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}.