LCM of 998, 650, 143, 143, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 998, 650, 143, 143, 920 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, 650, 143, 143, 920. So, keep reading to learn more.
Given numbers are 998,650,143,143,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,650,143,143,920 is 328242200.
Find LCM of 998,650,143,143,920 with Prime Factorization
| 2 | 998, 650, 143, 143, 920 |
| 5 | 499, 325, 143, 143, 460 |
| 11 | 499, 65, 143, 143, 92 |
| 13 | 499, 65, 13, 13, 92 |
| 499, 5, 1, 1, 92 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 13 x 499 x 5 x 1 x 1 x 92 = 328242200
Therefore, the lowest common multiple of 998,650,143,143,920 is 328242200.
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 650 x 143 x 143 x 920 = 12204044996000
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
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
143 : 1, 11, 13, 143
143 : 1, 11, 13, 143
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,650,143,143,920, is 1.
Now, the common factors can be found like this.
998:2x 499
650:2x 5x 5x 13
143:11x 13
143:11x 13
920:2x 2x 2x 5x 23
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 11x 13x 13 = 37180
Therefore, the value for common factors is 37180.
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 = 12204044996000/(1x37180)
LCM = 12204044996000/37180
LCM = 328242200
Thus, we can understand that the LCM of 998,650,143,143,920 is 328242200.
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FAQs on LCM of 998, 650, 143, 143, 920
1. What is the LCM of 998, 650, 143, 143, 920?
Answer: LCM of 998, 650, 143, 143, 920 is 328242200.
2. How to calculate the LCM of 998, 650, 143, 143, 920?
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, 650, 143, 143, 920.
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}.