LCM of 180, 616, 512, 678, 701
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 180, 616, 512, 678, 701 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 180, 616, 512, 678, 701. So, keep reading to learn more.
Given numbers are 180,616,512,678,701
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,616,512,678,701 is 140530199040.
Find LCM of 180,616,512,678,701 with Prime Factorization
| 2 | 180, 616, 512, 678, 701 |
| 2 | 90, 308, 256, 339, 701 |
| 2 | 45, 154, 128, 339, 701 |
| 3 | 45, 77, 64, 339, 701 |
| 15, 77, 64, 113, 701 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 15 x 77 x 64 x 113 x 701 = 140530199040
Therefore, the lowest common multiple of 180,616,512,678,701 is 140530199040.
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.
180 x 616 x 512 x 678 x 701 = 26981798215680
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.
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
678 : 1, 2, 3, 6, 113, 226, 339, 678
701 : 1, 701
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,616,512,678,701, is 1.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
616:2x 2x 2x 7x 11
512:2x 2x 2x 2x 2x 2x 2x 2x 2
678:2x 3x 113
701:701
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 2x 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 26981798215680/(1x192)
LCM = 26981798215680/192
LCM = 140530199040
Thus, we can understand that the LCM of 180,616,512,678,701 is 140530199040.
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FAQs on LCM of 180, 616, 512, 678, 701
1. What is the LCM of 180, 616, 512, 678, 701?
Answer: LCM of 180, 616, 512, 678, 701 is 140530199040.
2. How to calculate the LCM of 180, 616, 512, 678, 701?
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 180, 616, 512, 678, 701.
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}.