LCM of 177, 333, 261, 828, 607
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 177, 333, 261, 828, 607 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 177, 333, 261, 828, 607. So, keep reading to learn more.
Given numbers are 177,333,261,828,607
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 177,333,261,828,607 is 31817844972.
Find LCM of 177,333,261,828,607 with Prime Factorization
| 3 | 177, 333, 261, 828, 607 |
| 3 | 59, 111, 87, 276, 607 |
| 59, 37, 29, 92, 607 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 59 x 37 x 29 x 92 x 607 = 31817844972
Therefore, the lowest common multiple of 177,333,261,828,607 is 31817844972.
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.
177 x 333 x 261 x 828 x 607 = 7731736328196
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.
177 : 1, 3, 59, 177
333 : 1, 3, 9, 37, 111, 333
261 : 1, 3, 9, 29, 87, 261
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
607 : 1, 607
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,333,261,828,607, is 1.
Now, the common factors can be found like this.
177:3x 59
333:3x 3x 37
261:3x 3x 29
828:2x 2x 3x 3x 23
607:607
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 3x 3x 3 = 243
Therefore, the value for common factors is 243.
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 = 7731736328196/(1x243)
LCM = 7731736328196/243
LCM = 31817844972
Thus, we can understand that the LCM of 177,333,261,828,607 is 31817844972.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 177, 333, 261, 828, 607
1. What is the LCM of 177, 333, 261, 828, 607?
Answer: LCM of 177, 333, 261, 828, 607 is 31817844972.
2. How to calculate the LCM of 177, 333, 261, 828, 607?
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 177, 333, 261, 828, 607.
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}.