LCM of 959, 710, 400, 998, 820
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 959, 710, 400, 998, 820 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 959, 710, 400, 998, 820. So, keep reading to learn more.
Given numbers are 959,710,400,998,820
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 959,710,400,998,820 is 557213140400.
Find LCM of 959,710,400,998,820 with Prime Factorization
| 2 | 959, 710, 400, 998, 820 |
| 2 | 959, 355, 200, 499, 410 |
| 5 | 959, 355, 100, 499, 205 |
| 959, 71, 20, 499, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 959 x 71 x 20 x 499 x 41 = 557213140400
Therefore, the lowest common multiple of 959,710,400,998,820 is 557213140400.
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.
959 x 710 x 400 x 998 x 820 = 222885256160000
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.
959 : 1, 7, 137, 959
710 : 1, 2, 5, 10, 71, 142, 355, 710
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
998 : 1, 2, 499, 998
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,710,400,998,820, is 1.
Now, the common factors can be found like this.
959:7x 137
710:2x 5x 71
400:2x 2x 2x 2x 5x 5
998:2x 499
820:2x 2x 5x 41
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 2x 5x 5 = 400
Therefore, the value for common factors is 400.
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 = 222885256160000/(1x400)
LCM = 222885256160000/400
LCM = 557213140400
Thus, we can understand that the LCM of 959,710,400,998,820 is 557213140400.
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FAQs on LCM of 959, 710, 400, 998, 820
1. What is the LCM of 959, 710, 400, 998, 820?
Answer: LCM of 959, 710, 400, 998, 820 is 557213140400.
2. How to calculate the LCM of 959, 710, 400, 998, 820?
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 959, 710, 400, 998, 820.
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}.