LCM of 517, 776, 139, 781, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 517, 776, 139, 781, 684 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, 776, 139, 781, 684. So, keep reading to learn more.
Given numbers are 517,776,139,781,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,776,139,781,684 is 677051218008.
Find LCM of 517,776,139,781,684 with Prime Factorization
| 2 | 517, 776, 139, 781, 684 |
| 2 | 517, 388, 139, 781, 342 |
| 11 | 517, 194, 139, 781, 171 |
| 47, 194, 139, 71, 171 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 47 x 194 x 139 x 71 x 171 = 677051218008
Therefore, the lowest common multiple of 517,776,139,781,684 is 677051218008.
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 776 x 139 x 781 x 684 = 29790253592352
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
776 : 1, 2, 4, 8, 97, 194, 388, 776
139 : 1, 139
781 : 1, 11, 71, 781
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,776,139,781,684, is 1.
Now, the common factors can be found like this.
517:11x 47
776:2x 2x 2x 97
139:139
781:11x 71
684:2x 2x 3x 3x 19
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 11 = 44
Therefore, the value for common factors is 44.
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 = 29790253592352/(1x44)
LCM = 29790253592352/44
LCM = 677051218008
Thus, we can understand that the LCM of 517,776,139,781,684 is 677051218008.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 517, 776, 139, 781, 684
1. What is the LCM of 517, 776, 139, 781, 684?
Answer: LCM of 517, 776, 139, 781, 684 is 677051218008.
2. How to calculate the LCM of 517, 776, 139, 781, 684?
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, 776, 139, 781, 684.
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}.