LCM of 657, 901, 364, 180, 867
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 657, 901, 364, 180, 867 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 657, 901, 364, 180, 867. So, keep reading to learn more.
Given numbers are 657,901,364,180,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 657,901,364,180,867 is 18315149580.
Find LCM of 657,901,364,180,867 with Prime Factorization
| 2 | 657, 901, 364, 180, 867 |
| 2 | 657, 901, 182, 90, 867 |
| 3 | 657, 901, 91, 45, 867 |
| 3 | 219, 901, 91, 15, 289 |
| 17 | 73, 901, 91, 5, 289 |
| 73, 53, 91, 5, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 73 x 53 x 91 x 5 x 17 = 18315149580
Therefore, the lowest common multiple of 657,901,364,180,867 is 18315149580.
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.
657 x 901 x 364 x 180 x 867 = 33626614628880
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.
657 : 1, 3, 9, 73, 219, 657
901 : 1, 17, 53, 901
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,901,364,180,867, is 1.
Now, the common factors can be found like this.
657:3x 3x 73
901:17x 53
364:2x 2x 7x 13
180:2x 2x 3x 3x 5
867:3x 17x 17
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 3x 3x 17 = 1836
Therefore, the value for common factors is 1836.
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 = 33626614628880/(1x1836)
LCM = 33626614628880/1836
LCM = 18315149580
Thus, we can understand that the LCM of 657,901,364,180,867 is 18315149580.
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FAQs on LCM of 657, 901, 364, 180, 867
1. What is the LCM of 657, 901, 364, 180, 867?
Answer: LCM of 657, 901, 364, 180, 867 is 18315149580.
2. How to calculate the LCM of 657, 901, 364, 180, 867?
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 657, 901, 364, 180, 867.
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}.