LCM of 547, 221, 391, 667, 117
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 547, 221, 391, 667, 117 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 547, 221, 391, 667, 117. So, keep reading to learn more.
Given numbers are 547,221,391,667,117
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 547,221,391,667,117 is 725684661.
Find LCM of 547,221,391,667,117 with Prime Factorization
| 13 | 547, 221, 391, 667, 117 |
| 17 | 547, 17, 391, 667, 9 |
| 23 | 547, 1, 23, 667, 9 |
| 547, 1, 1, 29, 9 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 23 x 547 x 1 x 1 x 29 x 9 = 725684661
Therefore, the lowest common multiple of 547,221,391,667,117 is 725684661.
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.
547 x 221 x 391 x 667 x 117 = 3688655131863
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.
547 : 1, 547
221 : 1, 13, 17, 221
391 : 1, 17, 23, 391
667 : 1, 23, 29, 667
117 : 1, 3, 9, 13, 39, 117
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,221,391,667,117, is 1.
Now, the common factors can be found like this.
547:547
221:13x 17
391:17x 23
667:23x 29
117:3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 17x 23 = 5083
Therefore, the value for common factors is 5083.
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 = 3688655131863/(1x5083)
LCM = 3688655131863/5083
LCM = 725684661
Thus, we can understand that the LCM of 547,221,391,667,117 is 725684661.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 547, 221, 391, 667, 117
1. What is the LCM of 547, 221, 391, 667, 117?
Answer: LCM of 547, 221, 391, 667, 117 is 725684661.
2. How to calculate the LCM of 547, 221, 391, 667, 117?
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 547, 221, 391, 667, 117.
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}.