LCM of 998, 255, 364, 980, 865
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 998, 255, 364, 980, 865 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, 255, 364, 980, 865. So, keep reading to learn more.
Given numbers are 998,255,364,980,865
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,255,364,980,865 is 56090104980.
Find LCM of 998,255,364,980,865 with Prime Factorization
| 2 | 998, 255, 364, 980, 865 |
| 2 | 499, 255, 182, 490, 865 |
| 5 | 499, 255, 91, 245, 865 |
| 7 | 499, 51, 91, 49, 173 |
| 499, 51, 13, 7, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 499 x 51 x 13 x 7 x 173 = 56090104980
Therefore, the lowest common multiple of 998,255,364,980,865 is 56090104980.
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 255 x 364 x 980 x 865 = 78526146972000
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
255 : 1, 3, 5, 15, 17, 51, 85, 255
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
865 : 1, 5, 173, 865
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,255,364,980,865, is 1.
Now, the common factors can be found like this.
998:2x 499
255:3x 5x 17
364:2x 2x 7x 13
980:2x 2x 5x 7x 7
865:5x 173
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 5x 5x 7 = 1400
Therefore, the value for common factors is 1400.
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 = 78526146972000/(1x1400)
LCM = 78526146972000/1400
LCM = 56090104980
Thus, we can understand that the LCM of 998,255,364,980,865 is 56090104980.
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FAQs on LCM of 998, 255, 364, 980, 865
1. What is the LCM of 998, 255, 364, 980, 865?
Answer: LCM of 998, 255, 364, 980, 865 is 56090104980.
2. How to calculate the LCM of 998, 255, 364, 980, 865?
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, 255, 364, 980, 865.
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}.