LCM of 770, 180, 638, 187, 876
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 180, 638, 187, 876 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 770, 180, 638, 187, 876. So, keep reading to learn more.
Given numbers are 770,180,638,187,876
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,180,638,187,876 is 498807540.
Find LCM of 770,180,638,187,876 with Prime Factorization
| 2 | 770, 180, 638, 187, 876 |
| 2 | 385, 90, 319, 187, 438 |
| 3 | 385, 45, 319, 187, 219 |
| 5 | 385, 15, 319, 187, 73 |
| 11 | 77, 3, 319, 187, 73 |
| 7, 3, 29, 17, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 7 x 3 x 29 x 17 x 73 = 498807540
Therefore, the lowest common multiple of 770,180,638,187,876 is 498807540.
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.
770 x 180 x 638 x 187 x 876 = 14485370961600
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
638 : 1, 2, 11, 22, 29, 58, 319, 638
187 : 1, 11, 17, 187
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,180,638,187,876, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
180:2x 2x 3x 3x 5
638:2x 11x 29
187:11x 17
876:2x 2x 3x 73
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 3x 5x 11x 11 = 29040
Therefore, the value for common factors is 29040.
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 = 14485370961600/(1x29040)
LCM = 14485370961600/29040
LCM = 498807540
Thus, we can understand that the LCM of 770,180,638,187,876 is 498807540.
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FAQs on LCM of 770, 180, 638, 187, 876
1. What is the LCM of 770, 180, 638, 187, 876?
Answer: LCM of 770, 180, 638, 187, 876 is 498807540.
2. How to calculate the LCM of 770, 180, 638, 187, 876?
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 770, 180, 638, 187, 876.
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}.