LCM of 998, 796, 865, 700, 841
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 998, 796, 865, 700, 841 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, 796, 865, 700, 841. So, keep reading to learn more.
Given numbers are 998,796,865,700,841
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,796,865,700,841 is 10113320275100.
Find LCM of 998,796,865,700,841 with Prime Factorization
| 2 | 998, 796, 865, 700, 841 |
| 2 | 499, 398, 865, 350, 841 |
| 5 | 499, 199, 865, 175, 841 |
| 499, 199, 173, 35, 841 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 499 x 199 x 173 x 35 x 841 = 10113320275100
Therefore, the lowest common multiple of 998,796,865,700,841 is 10113320275100.
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 796 x 865 x 700 x 841 = 404532811004000
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
796 : 1, 2, 4, 199, 398, 796
865 : 1, 5, 173, 865
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
841 : 1, 29, 841
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,796,865,700,841, is 1.
Now, the common factors can be found like this.
998:2x 499
796:2x 2x 199
865:5x 173
700:2x 2x 5x 5x 7
841:29x 29
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 2x 5 = 40
Therefore, the value for common factors is 40.
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 = 404532811004000/(1x40)
LCM = 404532811004000/40
LCM = 10113320275100
Thus, we can understand that the LCM of 998,796,865,700,841 is 10113320275100.
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FAQs on LCM of 998, 796, 865, 700, 841
1. What is the LCM of 998, 796, 865, 700, 841?
Answer: LCM of 998, 796, 865, 700, 841 is 10113320275100.
2. How to calculate the LCM of 998, 796, 865, 700, 841?
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, 796, 865, 700, 841.
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}.