LCM of 165, 740, 314, 847, 575
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 165, 740, 314, 847, 575 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 165, 740, 314, 847, 575. So, keep reading to learn more.
Given numbers are 165,740,314,847,575
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 165,740,314,847,575 is 33949538700.
Find LCM of 165,740,314,847,575 with Prime Factorization
| 2 | 165, 740, 314, 847, 575 |
| 5 | 165, 370, 157, 847, 575 |
| 11 | 33, 74, 157, 847, 115 |
| 3, 74, 157, 77, 115 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 3 x 74 x 157 x 77 x 115 = 33949538700
Therefore, the lowest common multiple of 165,740,314,847,575 is 33949538700.
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.
165 x 740 x 314 x 847 x 575 = 18672246285000
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.
165 : 1, 3, 5, 11, 15, 33, 55, 165
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
314 : 1, 2, 157, 314
847 : 1, 7, 11, 77, 121, 847
575 : 1, 5, 23, 25, 115, 575
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,740,314,847,575, is 1.
Now, the common factors can be found like this.
165:3x 5x 11
740:2x 2x 5x 37
314:2x 157
847:7x 11x 11
575:5x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 11 = 550
Therefore, the value for common factors is 550.
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 = 18672246285000/(1x550)
LCM = 18672246285000/550
LCM = 33949538700
Thus, we can understand that the LCM of 165,740,314,847,575 is 33949538700.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 165, 740, 314, 847, 575
1. What is the LCM of 165, 740, 314, 847, 575?
Answer: LCM of 165, 740, 314, 847, 575 is 33949538700.
2. How to calculate the LCM of 165, 740, 314, 847, 575?
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 165, 740, 314, 847, 575.
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}.