LCM of 851, 522, 770, 777
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 851, 522, 770, 777 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 851, 522, 770, 777. So, keep reading to learn more.
Given numbers are 851,522,770,777
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 851,522,770,777 is 171025470.
Find LCM of 851,522,770,777 with Prime Factorization
| 2 | 851, 522, 770, 777 |
| 3 | 851, 261, 385, 777 |
| 7 | 851, 87, 385, 259 |
| 37 | 851, 87, 55, 37 |
| 23, 87, 55, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 37 x 23 x 87 x 55 x 1 = 171025470
Therefore, the lowest common multiple of 851,522,770,777 is 171025470.
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.
851 x 522 x 770 x 777 = 265773580380
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.
851 : 1, 23, 37, 851
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
777 : 1, 3, 7, 21, 37, 111, 259, 777
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,522,770,777, is 1.
Now, the common factors can be found like this.
851:23x 37
522:2x 3x 3x 29
770:2x 5x 7x 11
777:3x 7x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 37 = 1554
Therefore, the value for common factors is 1554.
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 = 265773580380/(1x1554)
LCM = 265773580380/1554
LCM = 171025470
Thus, we can understand that the LCM of 851,522,770,777 is 171025470.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 851, 522, 770, 777
1. What is the LCM of 851, 522, 770, 777?
Answer: LCM of 851, 522, 770, 777 is 171025470.
2. How to calculate the LCM of 851, 522, 770, 777?
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 851, 522, 770, 777.
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}.