LCM of 677, 632, 114, 760, 427
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 677, 632, 114, 760, 427 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 677, 632, 114, 760, 427. So, keep reading to learn more.
Given numbers are 677,632,114,760,427
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 677,632,114,760,427 is 52068909480.
Find LCM of 677,632,114,760,427 with Prime Factorization
| 2 | 677, 632, 114, 760, 427 |
| 2 | 677, 316, 57, 380, 427 |
| 2 | 677, 158, 57, 190, 427 |
| 19 | 677, 79, 57, 95, 427 |
| 677, 79, 3, 5, 427 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 677 x 79 x 3 x 5 x 427 = 52068909480
Therefore, the lowest common multiple of 677,632,114,760,427 is 52068909480.
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.
677 x 632 x 114 x 760 x 427 = 15828948481920
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.
677 : 1, 677
632 : 1, 2, 4, 8, 79, 158, 316, 632
114 : 1, 2, 3, 6, 19, 38, 57, 114
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
427 : 1, 7, 61, 427
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,632,114,760,427, is 1.
Now, the common factors can be found like this.
677:677
632:2x 2x 2x 79
114:2x 3x 19
760:2x 2x 2x 5x 19
427:7x 61
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 19 = 304
Therefore, the value for common factors is 304.
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 = 15828948481920/(1x304)
LCM = 15828948481920/304
LCM = 52068909480
Thus, we can understand that the LCM of 677,632,114,760,427 is 52068909480.
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FAQs on LCM of 677, 632, 114, 760, 427
1. What is the LCM of 677, 632, 114, 760, 427?
Answer: LCM of 677, 632, 114, 760, 427 is 52068909480.
2. How to calculate the LCM of 677, 632, 114, 760, 427?
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 677, 632, 114, 760, 427.
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}.