LCM of 896, 782, 902, 820, 328
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 896, 782, 902, 820, 328 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 896, 782, 902, 820, 328. So, keep reading to learn more.
Given numbers are 896,782,902,820,328
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,782,902,820,328 is 790007680.
Find LCM of 896,782,902,820,328 with Prime Factorization
| 2 | 896, 782, 902, 820, 328 |
| 2 | 448, 391, 451, 410, 164 |
| 2 | 224, 391, 451, 205, 82 |
| 41 | 112, 391, 451, 205, 41 |
| 112, 391, 11, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 41 x 112 x 391 x 11 x 5 x 1 = 790007680
Therefore, the lowest common multiple of 896,782,902,820,328 is 790007680.
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.
896 x 782 x 902 x 820 x 328 = 169984372490240
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.
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
782 : 1, 2, 17, 23, 34, 46, 391, 782
902 : 1, 2, 11, 22, 41, 82, 451, 902
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
328 : 1, 2, 4, 8, 41, 82, 164, 328
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,782,902,820,328, is 2.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
782:2x 17x 23
902:2x 11x 41
820:2x 2x 5x 41
328:2x 2x 2x 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 41x 41 = 107584
Therefore, the value for common factors is 107584.
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 = 169984372490240/(2x107584)
LCM = 169984372490240/215168
LCM = 790007680
Thus, we can understand that the LCM of 896,782,902,820,328 is 790007680.
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FAQs on LCM of 896, 782, 902, 820, 328
1. What is the LCM of 896, 782, 902, 820, 328?
Answer: LCM of 896, 782, 902, 820, 328 is 790007680.
2. How to calculate the LCM of 896, 782, 902, 820, 328?
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 896, 782, 902, 820, 328.
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}.