LCM of 545, 529, 943, 387, 167
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 545, 529, 943, 387, 167 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 545, 529, 943, 387, 167. So, keep reading to learn more.
Given numbers are 545,529,943,387,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 545,529,943,387,167 is 763947417645.
Find LCM of 545,529,943,387,167 with Prime Factorization
| 23 | 545, 529, 943, 387, 167 |
| 545, 23, 41, 387, 167 |
Multiply the prime numbers at the bottom and the left side.
23 x 545 x 23 x 41 x 387 x 167 = 763947417645
Therefore, the lowest common multiple of 545,529,943,387,167 is 763947417645.
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.
545 x 529 x 943 x 387 x 167 = 17570790605835
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.
545 : 1, 5, 109, 545
529 : 1, 23, 529
943 : 1, 23, 41, 943
387 : 1, 3, 9, 43, 129, 387
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,529,943,387,167, is 1.
Now, the common factors can be found like this.
545:5x 109
529:23x 23
943:23x 41
387:3x 3x 43
167:167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23 = 23
Therefore, the value for common factors is 23.
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 = 17570790605835/(1x23)
LCM = 17570790605835/23
LCM = 763947417645
Thus, we can understand that the LCM of 545,529,943,387,167 is 763947417645.
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FAQs on LCM of 545, 529, 943, 387, 167
1. What is the LCM of 545, 529, 943, 387, 167?
Answer: LCM of 545, 529, 943, 387, 167 is 763947417645.
2. How to calculate the LCM of 545, 529, 943, 387, 167?
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 545, 529, 943, 387, 167.
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}.