LCM of 595, 833, 294, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 595, 833, 294, 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 595, 833, 294, 357. So, keep reading to learn more.
Given numbers are 595,833,294,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 595,833,294,357 is 24990.
Find LCM of 595,833,294,357 with Prime Factorization
| 3 | 595, 833, 294, 357 |
| 7 | 595, 833, 98, 119 |
| 7 | 85, 17, 14, 119 |
| 17 | 85, 17, 2, 17 |
| 5, 1, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 7 x 17 x 5 x 1 x 2 x 1 = 24990
Therefore, the lowest common multiple of 595,833,294,357 is 24990.
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.
595 x 833 x 294 x 357 = 52020858330
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.
595 : 1, 5, 7, 17, 35, 85, 119, 595
833 : 1, 7, 17, 49, 119, 833
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
357 : 1, 3, 7, 17, 21, 51, 119, 357
7 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 595,833,294,357, is 7.
Now, the common factors can be found like this.
595:5x 7x 17
833:7x 7x 17
294:2x 3x 7x 7
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 7x 7x 7x 17x 17 = 297381
Therefore, the value for common factors is 297381.
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 = 52020858330/(7x297381)
LCM = 52020858330/2081667
LCM = 24990
Thus, we can understand that the LCM of 595,833,294,357 is 24990.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 595, 833, 294, 357
1. What is the LCM of 595, 833, 294, 357?
Answer: LCM of 595, 833, 294, 357 is 24990.
2. How to calculate the LCM of 595, 833, 294, 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 595, 833, 294, 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}.