LCM of 768, 890, 429, 946, 658
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 890, 429, 946, 658 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 768, 890, 429, 946, 658. So, keep reading to learn more.
Given numbers are 768,890,429,946,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,890,429,946,658 is 691387656960.
Find LCM of 768,890,429,946,658 with Prime Factorization
| 2 | 768, 890, 429, 946, 658 |
| 3 | 384, 445, 429, 473, 329 |
| 11 | 128, 445, 143, 473, 329 |
| 128, 445, 13, 43, 329 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 128 x 445 x 13 x 43 x 329 = 691387656960
Therefore, the lowest common multiple of 768,890,429,946,658 is 691387656960.
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.
768 x 890 x 429 x 946 x 658 = 182526341437440
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.
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
890 : 1, 2, 5, 10, 89, 178, 445, 890
429 : 1, 3, 11, 13, 33, 39, 143, 429
946 : 1, 2, 11, 22, 43, 86, 473, 946
658 : 1, 2, 7, 14, 47, 94, 329, 658
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,890,429,946,658, is 1.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
890:2x 5x 89
429:3x 11x 13
946:2x 11x 43
658:2x 7x 47
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 = 182526341437440/(1x264)
LCM = 182526341437440/264
LCM = 691387656960
Thus, we can understand that the LCM of 768,890,429,946,658 is 691387656960.
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FAQs on LCM of 768, 890, 429, 946, 658
1. What is the LCM of 768, 890, 429, 946, 658?
Answer: LCM of 768, 890, 429, 946, 658 is 691387656960.
2. How to calculate the LCM of 768, 890, 429, 946, 658?
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 768, 890, 429, 946, 658.
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}.