LCM of 781, 950, 451, 638, 275
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 950, 451, 638, 275 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 781, 950, 451, 638, 275. So, keep reading to learn more.
Given numbers are 781,950,451,638,275
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,950,451,638,275 is 882178550.
Find LCM of 781,950,451,638,275 with Prime Factorization
| 2 | 781, 950, 451, 638, 275 |
| 5 | 781, 475, 451, 319, 275 |
| 5 | 781, 95, 451, 319, 55 |
| 11 | 781, 19, 451, 319, 11 |
| 71, 19, 41, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 11 x 71 x 19 x 41 x 29 x 1 = 882178550
Therefore, the lowest common multiple of 781,950,451,638,275 is 882178550.
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.
781 x 950 x 451 x 638 x 275 = 58708982502500
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.
781 : 1, 11, 71, 781
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
451 : 1, 11, 41, 451
638 : 1, 2, 11, 22, 29, 58, 319, 638
275 : 1, 5, 11, 25, 55, 275
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,950,451,638,275, is 1.
Now, the common factors can be found like this.
781:11x 71
950:2x 5x 5x 19
451:11x 41
638:2x 11x 29
275:5x 5x 11
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 11x 11x 11 = 66550
Therefore, the value for common factors is 66550.
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 = 58708982502500/(1x66550)
LCM = 58708982502500/66550
LCM = 882178550
Thus, we can understand that the LCM of 781,950,451,638,275 is 882178550.
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FAQs on LCM of 781, 950, 451, 638, 275
1. What is the LCM of 781, 950, 451, 638, 275?
Answer: LCM of 781, 950, 451, 638, 275 is 882178550.
2. How to calculate the LCM of 781, 950, 451, 638, 275?
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 781, 950, 451, 638, 275.
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}.