LCM of 348, 717, 567, 957, 733
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 348, 717, 567, 957, 733 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 348, 717, 567, 957, 733. So, keep reading to learn more.
Given numbers are 348,717,567,957,733
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 348,717,567,957,733 is 126746393004.
Find LCM of 348,717,567,957,733 with Prime Factorization
| 3 | 348, 717, 567, 957, 733 |
| 29 | 116, 239, 189, 319, 733 |
| 4, 239, 189, 11, 733 |
Multiply the prime numbers at the bottom and the left side.
3 x 29 x 4 x 239 x 189 x 11 x 733 = 126746393004
Therefore, the lowest common multiple of 348,717,567,957,733 is 126746393004.
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.
348 x 717 x 567 x 957 x 733 = 99242425722132
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.
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
717 : 1, 3, 239, 717
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
957 : 1, 3, 11, 29, 33, 87, 319, 957
733 : 1, 733
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,717,567,957,733, is 1.
Now, the common factors can be found like this.
348:2x 2x 3x 29
717:3x 239
567:3x 3x 3x 3x 7
957:3x 11x 29
733:733
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 29 = 783
Therefore, the value for common factors is 783.
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 = 99242425722132/(1x783)
LCM = 99242425722132/783
LCM = 126746393004
Thus, we can understand that the LCM of 348,717,567,957,733 is 126746393004.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 348, 717, 567, 957, 733
1. What is the LCM of 348, 717, 567, 957, 733?
Answer: LCM of 348, 717, 567, 957, 733 is 126746393004.
2. How to calculate the LCM of 348, 717, 567, 957, 733?
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 348, 717, 567, 957, 733.
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}.