LCM of 676, 413, 273, 578, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 413, 273, 578, 738 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, 413, 273, 578, 738. So, keep reading to learn more.
Given numbers are 676,413,273,578,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,413,273,578,738 is 29772887508.
Find LCM of 676,413,273,578,738 with Prime Factorization
| 2 | 676, 413, 273, 578, 738 |
| 3 | 338, 413, 273, 289, 369 |
| 7 | 338, 413, 91, 289, 123 |
| 13 | 338, 59, 13, 289, 123 |
| 26, 59, 1, 289, 123 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 26 x 59 x 1 x 289 x 123 = 29772887508
Therefore, the lowest common multiple of 676,413,273,578,738 is 29772887508.
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 413 x 273 x 578 x 738 = 32511993158736
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
413 : 1, 7, 59, 413
273 : 1, 3, 7, 13, 21, 39, 91, 273
578 : 1, 2, 17, 34, 289, 578
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,413,273,578,738, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
413:7x 59
273:3x 7x 13
578:2x 17x 17
738:2x 3x 3x 41
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 3x 7x 13 = 1092
Therefore, the value for common factors is 1092.
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 = 32511993158736/(1x1092)
LCM = 32511993158736/1092
LCM = 29772887508
Thus, we can understand that the LCM of 676,413,273,578,738 is 29772887508.
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FAQs on LCM of 676, 413, 273, 578, 738
1. What is the LCM of 676, 413, 273, 578, 738?
Answer: LCM of 676, 413, 273, 578, 738 is 29772887508.
2. How to calculate the LCM of 676, 413, 273, 578, 738?
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, 413, 273, 578, 738.
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}.