LCM of 539, 676, 693, 117, 938
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 539, 676, 693, 117, 938 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 539, 676, 693, 117, 938. So, keep reading to learn more.
Given numbers are 539,676,693,117,938
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 539,676,693,117,938 is 219711492.
Find LCM of 539,676,693,117,938 with Prime Factorization
| 2 | 539, 676, 693, 117, 938 |
| 3 | 539, 338, 693, 117, 469 |
| 3 | 539, 338, 231, 39, 469 |
| 7 | 539, 338, 77, 13, 469 |
| 11 | 11, 338, 77, 13, 67 |
| 13 | 1, 338, 7, 13, 67 |
| 1, 26, 7, 1, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 11 x 13 x 1 x 26 x 7 x 1 x 67 = 219711492
Therefore, the lowest common multiple of 539,676,693,117,938 is 219711492.
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.
539 x 676 x 693 x 117 x 938 = 27711331639992
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.
539 : 1, 7, 11, 49, 77, 539
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
117 : 1, 3, 9, 13, 39, 117
938 : 1, 2, 7, 14, 67, 134, 469, 938
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 539,676,693,117,938, is 1.
Now, the common factors can be found like this.
539:7x 7x 11
676:2x 2x 13x 13
693:3x 3x 7x 11
117:3x 3x 13
938:2x 7x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 7x 11x 13 = 126126
Therefore, the value for common factors is 126126.
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 = 27711331639992/(1x126126)
LCM = 27711331639992/126126
LCM = 219711492
Thus, we can understand that the LCM of 539,676,693,117,938 is 219711492.
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FAQs on LCM of 539, 676, 693, 117, 938
1. What is the LCM of 539, 676, 693, 117, 938?
Answer: LCM of 539, 676, 693, 117, 938 is 219711492.
2. How to calculate the LCM of 539, 676, 693, 117, 938?
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 539, 676, 693, 117, 938.
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}.