LCM of 667, 138, 415, 546, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 667, 138, 415, 546, 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 667, 138, 415, 546, 768. So, keep reading to learn more.
Given numbers are 667,138,415,546,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,138,415,546,768 is 19345347840.
Find LCM of 667,138,415,546,768 with Prime Factorization
| 2 | 667, 138, 415, 546, 768 |
| 3 | 667, 69, 415, 273, 384 |
| 23 | 667, 23, 415, 91, 128 |
| 29, 1, 415, 91, 128 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 29 x 1 x 415 x 91 x 128 = 19345347840
Therefore, the lowest common multiple of 667,138,415,546,768 is 19345347840.
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.
667 x 138 x 415 x 546 x 768 = 16017948011520
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.
667 : 1, 23, 29, 667
138 : 1, 2, 3, 6, 23, 46, 69, 138
415 : 1, 5, 83, 415
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
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 667,138,415,546,768, is 1.
Now, the common factors can be found like this.
667:23x 29
138:2x 3x 23
415:5x 83
546:2x 3x 7x 13
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 23 = 828
Therefore, the value for common factors is 828.
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 = 16017948011520/(1x828)
LCM = 16017948011520/828
LCM = 19345347840
Thus, we can understand that the LCM of 667,138,415,546,768 is 19345347840.
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FAQs on LCM of 667, 138, 415, 546, 768
1. What is the LCM of 667, 138, 415, 546, 768?
Answer: LCM of 667, 138, 415, 546, 768 is 19345347840.
2. How to calculate the LCM of 667, 138, 415, 546, 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 667, 138, 415, 546, 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}.