LCM of 899, 119, 735, 305
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 899, 119, 735, 305 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 899, 119, 735, 305. So, keep reading to learn more.
Given numbers are 899,119,735,305
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 899,119,735,305 is 685213305.
Find LCM of 899,119,735,305 with Prime Factorization
| 5 | 899, 119, 735, 305 |
| 7 | 899, 119, 147, 61 |
| 899, 17, 21, 61 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 899 x 17 x 21 x 61 = 685213305
Therefore, the lowest common multiple of 899,119,735,305 is 685213305.
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.
899 x 119 x 735 x 305 = 23982465675
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.
899 : 1, 29, 31, 899
119 : 1, 7, 17, 119
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
305 : 1, 5, 61, 305
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 899,119,735,305, is 1.
Now, the common factors can be found like this.
899:29x 31
119:7x 17
735:3x 5x 7x 7
305:5x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7 = 35
Therefore, the value for common factors is 35.
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 = 23982465675/(1x35)
LCM = 23982465675/35
LCM = 685213305
Thus, we can understand that the LCM of 899,119,735,305 is 685213305.
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FAQs on LCM of 899, 119, 735, 305
1. What is the LCM of 899, 119, 735, 305?
Answer: LCM of 899, 119, 735, 305 is 685213305.
2. How to calculate the LCM of 899, 119, 735, 305?
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 899, 119, 735, 305.
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}.