LCM of 858, 704, 289, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 704, 289, 420 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 858, 704, 289, 420. So, keep reading to learn more.
Given numbers are 858,704,289,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,704,289,420 is 277717440.
Find LCM of 858,704,289,420 with Prime Factorization
| 2 | 858, 704, 289, 420 |
| 2 | 429, 352, 289, 210 |
| 3 | 429, 176, 289, 105 |
| 11 | 143, 176, 289, 35 |
| 13, 16, 289, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 16 x 289 x 35 = 277717440
Therefore, the lowest common multiple of 858,704,289,420 is 277717440.
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.
858 x 704 x 289 x 420 = 73317404160
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
289 : 1, 17, 289
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,704,289,420, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
704:2x 2x 2x 2x 2x 2x 11
289:17x 17
420:2x 2x 3x 5x 7
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 11 = 264
Therefore, the value for common factors is 264.
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 = 73317404160/(1x264)
LCM = 73317404160/264
LCM = 277717440
Thus, we can understand that the LCM of 858,704,289,420 is 277717440.
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FAQs on LCM of 858, 704, 289, 420
1. What is the LCM of 858, 704, 289, 420?
Answer: LCM of 858, 704, 289, 420 is 277717440.
2. How to calculate the LCM of 858, 704, 289, 420?
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 858, 704, 289, 420.
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}.