LCM of 825, 680, 395, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 825, 680, 395, 357 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 825, 680, 395, 357. So, keep reading to learn more.
Given numbers are 825,680,395,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,680,395,357 is 62046600.
Find LCM of 825,680,395,357 with Prime Factorization
| 3 | 825, 680, 395, 357 |
| 5 | 275, 680, 395, 119 |
| 17 | 55, 136, 79, 119 |
| 55, 8, 79, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 17 x 55 x 8 x 79 x 7 = 62046600
Therefore, the lowest common multiple of 825,680,395,357 is 62046600.
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.
825 x 680 x 395 x 357 = 79109415000
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.
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
395 : 1, 5, 79, 395
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,680,395,357, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
680:2x 2x 2x 5x 17
395:5x 79
357:3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 17 = 1275
Therefore, the value for common factors is 1275.
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 = 79109415000/(1x1275)
LCM = 79109415000/1275
LCM = 62046600
Thus, we can understand that the LCM of 825,680,395,357 is 62046600.
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FAQs on LCM of 825, 680, 395, 357
1. What is the LCM of 825, 680, 395, 357?
Answer: LCM of 825, 680, 395, 357 is 62046600.
2. How to calculate the LCM of 825, 680, 395, 357?
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 825, 680, 395, 357.
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}.