LCM of 638, 726, 547, 812, 610
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 638, 726, 547, 812, 610 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 638, 726, 547, 812, 610. So, keep reading to learn more.
Given numbers are 638,726,547,812,610
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,726,547,812,610 is 49175617260.
Find LCM of 638,726,547,812,610 with Prime Factorization
| 2 | 638, 726, 547, 812, 610 |
| 11 | 319, 363, 547, 406, 305 |
| 29 | 29, 33, 547, 406, 305 |
| 1, 33, 547, 14, 305 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 29 x 1 x 33 x 547 x 14 x 305 = 49175617260
Therefore, the lowest common multiple of 638,726,547,812,610 is 49175617260.
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.
638 x 726 x 547 x 812 x 610 = 125496175247520
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.
638 : 1, 2, 11, 22, 29, 58, 319, 638
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
547 : 1, 547
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
610 : 1, 2, 5, 10, 61, 122, 305, 610
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,726,547,812,610, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
726:2x 3x 11x 11
547:547
812:2x 2x 7x 29
610:2x 5x 61
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 11x 29 = 2552
Therefore, the value for common factors is 2552.
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 = 125496175247520/(1x2552)
LCM = 125496175247520/2552
LCM = 49175617260
Thus, we can understand that the LCM of 638,726,547,812,610 is 49175617260.
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FAQs on LCM of 638, 726, 547, 812, 610
1. What is the LCM of 638, 726, 547, 812, 610?
Answer: LCM of 638, 726, 547, 812, 610 is 49175617260.
2. How to calculate the LCM of 638, 726, 547, 812, 610?
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 638, 726, 547, 812, 610.
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}.