LCM of 652, 998, 431, 802, 998
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 652, 998, 431, 802, 998 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 652, 998, 431, 802, 998. So, keep reading to learn more.
Given numbers are 652,998,431,802,998
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 652,998,431,802,998 is 56230220188.
Find LCM of 652,998,431,802,998 with Prime Factorization
| 2 | 652, 998, 431, 802, 998 |
| 499 | 326, 499, 431, 401, 499 |
| 326, 1, 431, 401, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 499 x 326 x 1 x 431 x 401 x 1 = 56230220188
Therefore, the lowest common multiple of 652,998,431,802,998 is 56230220188.
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.
652 x 998 x 431 x 802 x 998 = 224471038990496
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.
652 : 1, 2, 4, 163, 326, 652
998 : 1, 2, 499, 998
431 : 1, 431
802 : 1, 2, 401, 802
998 : 1, 2, 499, 998
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 652,998,431,802,998, is 1.
Now, the common factors can be found like this.
652:2x 2x 163
998:2x 499
431:431
802:2x 401
998:2x 499
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 499 = 3992
Therefore, the value for common factors is 3992.
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 = 224471038990496/(1x3992)
LCM = 224471038990496/3992
LCM = 56230220188
Thus, we can understand that the LCM of 652,998,431,802,998 is 56230220188.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 652, 998, 431, 802, 998
1. What is the LCM of 652, 998, 431, 802, 998?
Answer: LCM of 652, 998, 431, 802, 998 is 56230220188.
2. How to calculate the LCM of 652, 998, 431, 802, 998?
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 652, 998, 431, 802, 998.
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}.