LCM of 821, 297, 514, 414, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 821, 297, 514, 414, 768 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 821, 297, 514, 414, 768. So, keep reading to learn more.
Given numbers are 821,297,514,414,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,297,514,414,768 is 368978049792.
Find LCM of 821,297,514,414,768 with Prime Factorization
| 2 | 821, 297, 514, 414, 768 |
| 3 | 821, 297, 257, 207, 384 |
| 3 | 821, 99, 257, 69, 128 |
| 821, 33, 257, 23, 128 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 821 x 33 x 257 x 23 x 128 = 368978049792
Therefore, the lowest common multiple of 821,297,514,414,768 is 368978049792.
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.
821 x 297 x 514 x 414 x 768 = 39849629377536
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.
821 : 1, 821
297 : 1, 3, 9, 11, 27, 33, 99, 297
514 : 1, 2, 257, 514
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,297,514,414,768, is 1.
Now, the common factors can be found like this.
821:821
297:3x 3x 3x 11
514:2x 257
414:2x 3x 3x 23
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 39849629377536/(1x108)
LCM = 39849629377536/108
LCM = 368978049792
Thus, we can understand that the LCM of 821,297,514,414,768 is 368978049792.
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FAQs on LCM of 821, 297, 514, 414, 768
1. What is the LCM of 821, 297, 514, 414, 768?
Answer: LCM of 821, 297, 514, 414, 768 is 368978049792.
2. How to calculate the LCM of 821, 297, 514, 414, 768?
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 821, 297, 514, 414, 768.
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}.