LCM of 684, 676, 384, 538, 538
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 676, 384, 538, 538 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 684, 676, 384, 538, 538. So, keep reading to learn more.
Given numbers are 684,676,384,538,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,676,384,538,538 is 995050368.
Find LCM of 684,676,384,538,538 with Prime Factorization
| 2 | 684, 676, 384, 538, 538 |
| 2 | 342, 338, 192, 269, 269 |
| 3 | 171, 169, 96, 269, 269 |
| 269 | 57, 169, 32, 269, 269 |
| 57, 169, 32, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 269 x 57 x 169 x 32 x 1 x 1 = 995050368
Therefore, the lowest common multiple of 684,676,384,538,538 is 995050368.
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.
684 x 676 x 384 x 538 x 538 = 51392361406464
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
538 : 1, 2, 269, 538
538 : 1, 2, 269, 538
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,676,384,538,538, is 2.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
676:2x 2x 13x 13
384:2x 2x 2x 2x 2x 2x 2x 3
538:2x 269
538:2x 269
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 3x 269 = 25824
Therefore, the value for common factors is 25824.
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 = 51392361406464/(2x25824)
LCM = 51392361406464/51648
LCM = 995050368
Thus, we can understand that the LCM of 684,676,384,538,538 is 995050368.
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FAQs on LCM of 684, 676, 384, 538, 538
1. What is the LCM of 684, 676, 384, 538, 538?
Answer: LCM of 684, 676, 384, 538, 538 is 995050368.
2. How to calculate the LCM of 684, 676, 384, 538, 538?
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 684, 676, 384, 538, 538.
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}.