LCM of 992, 407, 691, 620, 835
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 992, 407, 691, 620, 835 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 992, 407, 691, 620, 835. So, keep reading to learn more.
Given numbers are 992,407,691,620,835
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 992,407,691,620,835 is 232954231840.
Find LCM of 992,407,691,620,835 with Prime Factorization
| 2 | 992, 407, 691, 620, 835 |
| 2 | 496, 407, 691, 310, 835 |
| 5 | 248, 407, 691, 155, 835 |
| 31 | 248, 407, 691, 31, 167 |
| 8, 407, 691, 1, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 31 x 8 x 407 x 691 x 1 x 167 = 232954231840
Therefore, the lowest common multiple of 992,407,691,620,835 is 232954231840.
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.
992 x 407 x 691 x 620 x 835 = 144431623740800
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.
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
407 : 1, 11, 37, 407
691 : 1, 691
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
835 : 1, 5, 167, 835
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,407,691,620,835, is 1.
Now, the common factors can be found like this.
992:2x 2x 2x 2x 2x 31
407:11x 37
691:691
620:2x 2x 5x 31
835:5x 167
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 31 = 620
Therefore, the value for common factors is 620.
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 = 144431623740800/(1x620)
LCM = 144431623740800/620
LCM = 232954231840
Thus, we can understand that the LCM of 992,407,691,620,835 is 232954231840.
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FAQs on LCM of 992, 407, 691, 620, 835
1. What is the LCM of 992, 407, 691, 620, 835?
Answer: LCM of 992, 407, 691, 620, 835 is 232954231840.
2. How to calculate the LCM of 992, 407, 691, 620, 835?
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 992, 407, 691, 620, 835.
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}.