LCM of 517, 451, 278, 310, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 517, 451, 278, 310, 105 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 517, 451, 278, 310, 105. So, keep reading to learn more.
Given numbers are 517,451,278,310,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,451,278,310,105 is 19180953330.
Find LCM of 517,451,278,310,105 with Prime Factorization
| 2 | 517, 451, 278, 310, 105 |
| 5 | 517, 451, 139, 155, 105 |
| 11 | 517, 451, 139, 31, 21 |
| 47, 41, 139, 31, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 47 x 41 x 139 x 31 x 21 = 19180953330
Therefore, the lowest common multiple of 517,451,278,310,105 is 19180953330.
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.
517 x 451 x 278 x 310 x 105 = 2109904866300
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.
517 : 1, 11, 47, 517
451 : 1, 11, 41, 451
278 : 1, 2, 139, 278
310 : 1, 2, 5, 10, 31, 62, 155, 310
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,451,278,310,105, is 1.
Now, the common factors can be found like this.
517:11x 47
451:11x 41
278:2x 139
310:2x 5x 31
105:3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11 = 110
Therefore, the value for common factors is 110.
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 = 2109904866300/(1x110)
LCM = 2109904866300/110
LCM = 19180953330
Thus, we can understand that the LCM of 517,451,278,310,105 is 19180953330.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 517, 451, 278, 310, 105
1. What is the LCM of 517, 451, 278, 310, 105?
Answer: LCM of 517, 451, 278, 310, 105 is 19180953330.
2. How to calculate the LCM of 517, 451, 278, 310, 105?
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 517, 451, 278, 310, 105.
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}.