LCM of 525, 899, 737, 335
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 525, 899, 737, 335 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 525, 899, 737, 335. So, keep reading to learn more.
Given numbers are 525,899,737,335
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 525,899,737,335 is 347845575.
Find LCM of 525,899,737,335 with Prime Factorization
| 5 | 525, 899, 737, 335 |
| 67 | 105, 899, 737, 67 |
| 105, 899, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 67 x 105 x 899 x 11 x 1 = 347845575
Therefore, the lowest common multiple of 525,899,737,335 is 347845575.
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.
525 x 899 x 737 x 335 = 116528267625
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.
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
899 : 1, 29, 31, 899
737 : 1, 11, 67, 737
335 : 1, 5, 67, 335
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 525,899,737,335, is 1.
Now, the common factors can be found like this.
525:3x 5x 5x 7
899:29x 31
737:11x 67
335:5x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 67 = 335
Therefore, the value for common factors is 335.
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 = 116528267625/(1x335)
LCM = 116528267625/335
LCM = 347845575
Thus, we can understand that the LCM of 525,899,737,335 is 347845575.
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FAQs on LCM of 525, 899, 737, 335
1. What is the LCM of 525, 899, 737, 335?
Answer: LCM of 525, 899, 737, 335 is 347845575.
2. How to calculate the LCM of 525, 899, 737, 335?
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 525, 899, 737, 335.
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}.