LCM of 826, 590, 275, 848, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 826, 590, 275, 848, 314 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 826, 590, 275, 848, 314. So, keep reading to learn more.
Given numbers are 826,590,275,848,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 826,590,275,848,314 is 15120921200.
Find LCM of 826,590,275,848,314 with Prime Factorization
| 2 | 826, 590, 275, 848, 314 |
| 5 | 413, 295, 275, 424, 157 |
| 59 | 413, 59, 55, 424, 157 |
| 7, 1, 55, 424, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 59 x 7 x 1 x 55 x 424 x 157 = 15120921200
Therefore, the lowest common multiple of 826,590,275,848,314 is 15120921200.
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.
826 x 590 x 275 x 848 x 314 = 35685374032000
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.
826 : 1, 2, 7, 14, 59, 118, 413, 826
590 : 1, 2, 5, 10, 59, 118, 295, 590
275 : 1, 5, 11, 25, 55, 275
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
314 : 1, 2, 157, 314
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,590,275,848,314, is 1.
Now, the common factors can be found like this.
826:2x 7x 59
590:2x 5x 59
275:5x 5x 11
848:2x 2x 2x 2x 53
314:2x 157
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 5x 59 = 2360
Therefore, the value for common factors is 2360.
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 = 35685374032000/(1x2360)
LCM = 35685374032000/2360
LCM = 15120921200
Thus, we can understand that the LCM of 826,590,275,848,314 is 15120921200.
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FAQs on LCM of 826, 590, 275, 848, 314
1. What is the LCM of 826, 590, 275, 848, 314?
Answer: LCM of 826, 590, 275, 848, 314 is 15120921200.
2. How to calculate the LCM of 826, 590, 275, 848, 314?
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 826, 590, 275, 848, 314.
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}.