LCM of 991, 492, 470, 850, 500
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 991, 492, 470, 850, 500 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 991, 492, 470, 850, 500. So, keep reading to learn more.
Given numbers are 991,492,470,850,500
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 991,492,470,850,500 is 48696253500.
Find LCM of 991,492,470,850,500 with Prime Factorization
| 2 | 991, 492, 470, 850, 500 |
| 2 | 991, 246, 235, 425, 250 |
| 5 | 991, 123, 235, 425, 125 |
| 5 | 991, 123, 47, 85, 25 |
| 991, 123, 47, 17, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 991 x 123 x 47 x 17 x 5 = 48696253500
Therefore, the lowest common multiple of 991,492,470,850,500 is 48696253500.
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.
991 x 492 x 470 x 850 x 500 = 97392507000000
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.
991 : 1, 991
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
470 : 1, 2, 5, 10, 47, 94, 235, 470
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,492,470,850,500, is 1.
Now, the common factors can be found like this.
991:991
492:2x 2x 3x 41
470:2x 5x 47
850:2x 5x 5x 17
500:2x 2x 5x 5x 5
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 5x 5 = 2000
Therefore, the value for common factors is 2000.
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 = 97392507000000/(1x2000)
LCM = 97392507000000/2000
LCM = 48696253500
Thus, we can understand that the LCM of 991,492,470,850,500 is 48696253500.
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FAQs on LCM of 991, 492, 470, 850, 500
1. What is the LCM of 991, 492, 470, 850, 500?
Answer: LCM of 991, 492, 470, 850, 500 is 48696253500.
2. How to calculate the LCM of 991, 492, 470, 850, 500?
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 991, 492, 470, 850, 500.
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}.