LCM of 396, 824, 620, 760, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 396, 824, 620, 760, 902 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 396, 824, 620, 760, 902. So, keep reading to learn more.
Given numbers are 396,824,620,760,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,824,620,760,902 is 9849894120.
Find LCM of 396,824,620,760,902 with Prime Factorization
| 2 | 396, 824, 620, 760, 902 |
| 2 | 198, 412, 310, 380, 451 |
| 2 | 99, 206, 155, 190, 451 |
| 5 | 99, 103, 155, 95, 451 |
| 11 | 99, 103, 31, 19, 451 |
| 9, 103, 31, 19, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 11 x 9 x 103 x 31 x 19 x 41 = 9849894120
Therefore, the lowest common multiple of 396,824,620,760,902 is 9849894120.
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.
396 x 824 x 620 x 760 x 902 = 138686509209600
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
824 : 1, 2, 4, 8, 103, 206, 412, 824
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
902 : 1, 2, 11, 22, 41, 82, 451, 902
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,824,620,760,902, is 2.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
824:2x 2x 2x 103
620:2x 2x 5x 31
760:2x 2x 2x 5x 19
902:2x 11x 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 2x 2x 2x 5x 11 = 7040
Therefore, the value for common factors is 7040.
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 = 138686509209600/(2x7040)
LCM = 138686509209600/14080
LCM = 9849894120
Thus, we can understand that the LCM of 396,824,620,760,902 is 9849894120.
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FAQs on LCM of 396, 824, 620, 760, 902
1. What is the LCM of 396, 824, 620, 760, 902?
Answer: LCM of 396, 824, 620, 760, 902 is 9849894120.
2. How to calculate the LCM of 396, 824, 620, 760, 902?
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 396, 824, 620, 760, 902.
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}.