LCM of 998, 923, 710, 715
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 998, 923, 710, 715 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 998, 923, 710, 715. So, keep reading to learn more.
Given numbers are 998,923,710,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,923,710,715 is 50663470.
Find LCM of 998,923,710,715 with Prime Factorization
| 2 | 998, 923, 710, 715 |
| 5 | 499, 923, 355, 715 |
| 13 | 499, 923, 71, 143 |
| 71 | 499, 71, 71, 11 |
| 499, 1, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 71 x 499 x 1 x 1 x 11 = 50663470
Therefore, the lowest common multiple of 998,923,710,715 is 50663470.
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.
998 x 923 x 710 x 715 = 467623828100
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.
998 : 1, 2, 499, 998
923 : 1, 13, 71, 923
710 : 1, 2, 5, 10, 71, 142, 355, 710
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,923,710,715, is 1.
Now, the common factors can be found like this.
998:2x 499
923:13x 71
710:2x 5x 71
715:5x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13x 71 = 9230
Therefore, the value for common factors is 9230.
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 = 467623828100/(1x9230)
LCM = 467623828100/9230
LCM = 50663470
Thus, we can understand that the LCM of 998,923,710,715 is 50663470.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 998, 923, 710, 715
1. What is the LCM of 998, 923, 710, 715?
Answer: LCM of 998, 923, 710, 715 is 50663470.
2. How to calculate the LCM of 998, 923, 710, 715?
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 998, 923, 710, 715.
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}.