LCM of 899, 350, 337, 930, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 899, 350, 337, 930, 868 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, 350, 337, 930, 868. So, keep reading to learn more.
Given numbers are 899,350,337,930,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 899,350,337,930,868 is 636222300.
Find LCM of 899,350,337,930,868 with Prime Factorization
| 2 | 899, 350, 337, 930, 868 |
| 5 | 899, 175, 337, 465, 434 |
| 7 | 899, 35, 337, 93, 434 |
| 31 | 899, 5, 337, 93, 62 |
| 29, 5, 337, 3, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 31 x 29 x 5 x 337 x 3 x 2 = 636222300
Therefore, the lowest common multiple of 899,350,337,930,868 is 636222300.
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 350 x 337 x 930 x 868 = 85597348242000
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
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
337 : 1, 337
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 899,350,337,930,868, is 1.
Now, the common factors can be found like this.
899:29x 31
350:2x 5x 5x 7
337:337
930:2x 3x 5x 31
868:2x 2x 7x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 5x 7x 31x 31 = 134540
Therefore, the value for common factors is 134540.
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 = 85597348242000/(1x134540)
LCM = 85597348242000/134540
LCM = 636222300
Thus, we can understand that the LCM of 899,350,337,930,868 is 636222300.
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FAQs on LCM of 899, 350, 337, 930, 868
1. What is the LCM of 899, 350, 337, 930, 868?
Answer: LCM of 899, 350, 337, 930, 868 is 636222300.
2. How to calculate the LCM of 899, 350, 337, 930, 868?
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, 350, 337, 930, 868.
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}.