LCM of 676, 468, 274, 137, 116
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 468, 274, 137, 116 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 676, 468, 274, 137, 116. So, keep reading to learn more.
Given numbers are 676,468,274,137,116
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,468,274,137,116 is 24171732.
Find LCM of 676,468,274,137,116 with Prime Factorization
| 2 | 676, 468, 274, 137, 116 |
| 2 | 338, 234, 137, 137, 58 |
| 13 | 169, 117, 137, 137, 29 |
| 137 | 13, 9, 137, 137, 29 |
| 13, 9, 1, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 137 x 13 x 9 x 1 x 1 x 29 = 24171732
Therefore, the lowest common multiple of 676,468,274,137,116 is 24171732.
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.
676 x 468 x 274 x 137 x 116 = 1377595350144
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
274 : 1, 2, 137, 274
137 : 1, 137
116 : 1, 2, 4, 29, 58, 116
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,468,274,137,116, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
468:2x 2x 3x 3x 13
274:2x 137
137:137
116:2x 2x 29
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 13x 137 = 56992
Therefore, the value for common factors is 56992.
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 = 1377595350144/(1x56992)
LCM = 1377595350144/56992
LCM = 24171732
Thus, we can understand that the LCM of 676,468,274,137,116 is 24171732.
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FAQs on LCM of 676, 468, 274, 137, 116
1. What is the LCM of 676, 468, 274, 137, 116?
Answer: LCM of 676, 468, 274, 137, 116 is 24171732.
2. How to calculate the LCM of 676, 468, 274, 137, 116?
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 676, 468, 274, 137, 116.
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}.