LCM of 295, 529, 782, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 295, 529, 782, 385 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 295, 529, 782, 385. So, keep reading to learn more.
Given numbers are 295,529,782,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 295,529,782,385 is 408551990.
Find LCM of 295,529,782,385 with Prime Factorization
| 5 | 295, 529, 782, 385 |
| 23 | 59, 529, 782, 77 |
| 59, 23, 34, 77 |
Multiply the prime numbers at the bottom and the left side.
5 x 23 x 59 x 23 x 34 x 77 = 408551990
Therefore, the lowest common multiple of 295,529,782,385 is 408551990.
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.
295 x 529 x 782 x 385 = 46983478850
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.
295 : 1, 5, 59, 295
529 : 1, 23, 529
782 : 1, 2, 17, 23, 34, 46, 391, 782
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 295,529,782,385, is 1.
Now, the common factors can be found like this.
295:5x 59
529:23x 23
782:2x 17x 23
385:5x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 23 = 115
Therefore, the value for common factors is 115.
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 = 46983478850/(1x115)
LCM = 46983478850/115
LCM = 408551990
Thus, we can understand that the LCM of 295,529,782,385 is 408551990.
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FAQs on LCM of 295, 529, 782, 385
1. What is the LCM of 295, 529, 782, 385?
Answer: LCM of 295, 529, 782, 385 is 408551990.
2. How to calculate the LCM of 295, 529, 782, 385?
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 295, 529, 782, 385.
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}.