LCM of 305, 176, 607, 825, 701
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 176, 607, 825, 701 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 305, 176, 607, 825, 701. So, keep reading to learn more.
Given numbers are 305,176,607,825,701
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,176,607,825,701 is 342618236400.
Find LCM of 305,176,607,825,701 with Prime Factorization
| 5 | 305, 176, 607, 825, 701 |
| 11 | 61, 176, 607, 165, 701 |
| 61, 16, 607, 15, 701 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 61 x 16 x 607 x 15 x 701 = 342618236400
Therefore, the lowest common multiple of 305,176,607,825,701 is 342618236400.
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.
305 x 176 x 607 x 825 x 701 = 18844003002000
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.
305 : 1, 5, 61, 305
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
607 : 1, 607
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
701 : 1, 701
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,176,607,825,701, is 1.
Now, the common factors can be found like this.
305:5x 61
176:2x 2x 2x 2x 11
607:607
825:3x 5x 5x 11
701:701
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11 = 55
Therefore, the value for common factors is 55.
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 = 18844003002000/(1x55)
LCM = 18844003002000/55
LCM = 342618236400
Thus, we can understand that the LCM of 305,176,607,825,701 is 342618236400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 305, 176, 607, 825, 701
1. What is the LCM of 305, 176, 607, 825, 701?
Answer: LCM of 305, 176, 607, 825, 701 is 342618236400.
2. How to calculate the LCM of 305, 176, 607, 825, 701?
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 305, 176, 607, 825, 701.
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}.