LCM of 521, 975, 110, 781, 950
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 521, 975, 110, 781, 950 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 521, 975, 110, 781, 950. So, keep reading to learn more.
Given numbers are 521,975,110,781,950
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 521,975,110,781,950 is 15075682050.
Find LCM of 521,975,110,781,950 with Prime Factorization
| 2 | 521, 975, 110, 781, 950 |
| 5 | 521, 975, 55, 781, 475 |
| 5 | 521, 195, 11, 781, 95 |
| 11 | 521, 39, 11, 781, 19 |
| 521, 39, 1, 71, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 11 x 521 x 39 x 1 x 71 x 19 = 15075682050
Therefore, the lowest common multiple of 521,975,110,781,950 is 15075682050.
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.
521 x 975 x 110 x 781 x 950 = 41458125637500
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.
521 : 1, 521
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
110 : 1, 2, 5, 10, 11, 22, 55, 110
781 : 1, 11, 71, 781
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,975,110,781,950, is 1.
Now, the common factors can be found like this.
521:521
975:3x 5x 5x 13
110:2x 5x 11
781:11x 71
950:2x 5x 5x 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 5x 5x 5x 11 = 2750
Therefore, the value for common factors is 2750.
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 = 41458125637500/(1x2750)
LCM = 41458125637500/2750
LCM = 15075682050
Thus, we can understand that the LCM of 521,975,110,781,950 is 15075682050.
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FAQs on LCM of 521, 975, 110, 781, 950
1. What is the LCM of 521, 975, 110, 781, 950?
Answer: LCM of 521, 975, 110, 781, 950 is 15075682050.
2. How to calculate the LCM of 521, 975, 110, 781, 950?
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 521, 975, 110, 781, 950.
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}.