LCM of 770, 822, 807, 745, 878
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 822, 807, 745, 878 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, 822, 807, 745, 878. So, keep reading to learn more.
Given numbers are 770,822,807,745,878
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,822,807,745,878 is 5568466556730.
Find LCM of 770,822,807,745,878 with Prime Factorization
| 2 | 770, 822, 807, 745, 878 |
| 3 | 385, 411, 807, 745, 439 |
| 5 | 385, 137, 269, 745, 439 |
| 77, 137, 269, 149, 439 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 77 x 137 x 269 x 149 x 439 = 5568466556730
Therefore, the lowest common multiple of 770,822,807,745,878 is 5568466556730.
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 822 x 807 x 745 x 878 = 334107993403800
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
822 : 1, 2, 3, 6, 137, 274, 411, 822
807 : 1, 3, 269, 807
745 : 1, 5, 149, 745
878 : 1, 2, 439, 878
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,822,807,745,878, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
822:2x 3x 137
807:3x 269
745:5x 149
878:2x 439
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 5 = 60
Therefore, the value for common factors is 60.
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 = 334107993403800/(1x60)
LCM = 334107993403800/60
LCM = 5568466556730
Thus, we can understand that the LCM of 770,822,807,745,878 is 5568466556730.
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FAQs on LCM of 770, 822, 807, 745, 878
1. What is the LCM of 770, 822, 807, 745, 878?
Answer: LCM of 770, 822, 807, 745, 878 is 5568466556730.
2. How to calculate the LCM of 770, 822, 807, 745, 878?
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, 822, 807, 745, 878.
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}.