LCM of 159, 540, 851, 869, 777
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 159, 540, 851, 869, 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 159, 540, 851, 869, 777. So, keep reading to learn more.
Given numbers are 159,540,851,869,777
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 159,540,851,869,777 is 148155236460.
Find LCM of 159,540,851,869,777 with Prime Factorization
| 3 | 159, 540, 851, 869, 777 |
| 37 | 53, 180, 851, 869, 259 |
| 53, 180, 23, 869, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 37 x 53 x 180 x 23 x 869 x 7 = 148155236460
Therefore, the lowest common multiple of 159,540,851,869,777 is 148155236460.
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.
159 x 540 x 851 x 869 x 777 = 49335693741180
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.
159 : 1, 3, 53, 159
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
851 : 1, 23, 37, 851
869 : 1, 11, 79, 869
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 159,540,851,869,777, is 1.
Now, the common factors can be found like this.
159:3x 53
540:2x 2x 3x 3x 3x 5
851:23x 37
869:11x 79
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.
3x 3x 37 = 333
Therefore, the value for common factors is 333.
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 = 49335693741180/(1x333)
LCM = 49335693741180/333
LCM = 148155236460
Thus, we can understand that the LCM of 159,540,851,869,777 is 148155236460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 159, 540, 851, 869, 777
1. What is the LCM of 159, 540, 851, 869, 777?
Answer: LCM of 159, 540, 851, 869, 777 is 148155236460.
2. How to calculate the LCM of 159, 540, 851, 869, 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 159, 540, 851, 869, 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}.