LCM of 177, 321, 235, 734, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 177, 321, 235, 734, 578 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, 321, 235, 734, 578. So, keep reading to learn more.
Given numbers are 177,321,235,734,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 177,321,235,734,578 is 944101763790.
Find LCM of 177,321,235,734,578 with Prime Factorization
| 2 | 177, 321, 235, 734, 578 |
| 3 | 177, 321, 235, 367, 289 |
| 59, 107, 235, 367, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 59 x 107 x 235 x 367 x 289 = 944101763790
Therefore, the lowest common multiple of 177,321,235,734,578 is 944101763790.
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 321 x 235 x 734 x 578 = 5664610582740
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
321 : 1, 3, 107, 321
235 : 1, 5, 47, 235
734 : 1, 2, 367, 734
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,321,235,734,578, is 1.
Now, the common factors can be found like this.
177:3x 59
321:3x 107
235:5x 47
734:2x 367
578:2x 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 3 = 6
Therefore, the value for common factors is 6.
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 = 5664610582740/(1x6)
LCM = 5664610582740/6
LCM = 944101763790
Thus, we can understand that the LCM of 177,321,235,734,578 is 944101763790.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 177, 321, 235, 734, 578
1. What is the LCM of 177, 321, 235, 734, 578?
Answer: LCM of 177, 321, 235, 734, 578 is 944101763790.
2. How to calculate the LCM of 177, 321, 235, 734, 578?
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, 321, 235, 734, 578.
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}.