LCM of 803, 612, 980, 826, 448
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 803, 612, 980, 826, 448 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 803, 612, 980, 826, 448. So, keep reading to learn more.
Given numbers are 803,612,980,826,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,612,980,826,448 is 113659318080.
Find LCM of 803,612,980,826,448 with Prime Factorization
| 2 | 803, 612, 980, 826, 448 |
| 2 | 803, 306, 490, 413, 224 |
| 7 | 803, 153, 245, 413, 112 |
| 803, 153, 35, 59, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 803 x 153 x 35 x 59 x 16 = 113659318080
Therefore, the lowest common multiple of 803,612,980,826,448 is 113659318080.
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.
803 x 612 x 980 x 826 x 448 = 178217810749440
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.
803 : 1, 11, 73, 803
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
826 : 1, 2, 7, 14, 59, 118, 413, 826
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,612,980,826,448, is 1.
Now, the common factors can be found like this.
803:11x 73
612:2x 2x 3x 3x 17
980:2x 2x 5x 7x 7
826:2x 7x 59
448:2x 2x 2x 2x 2x 2x 7
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 7x 7 = 1568
Therefore, the value for common factors is 1568.
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 = 178217810749440/(1x1568)
LCM = 178217810749440/1568
LCM = 113659318080
Thus, we can understand that the LCM of 803,612,980,826,448 is 113659318080.
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FAQs on LCM of 803, 612, 980, 826, 448
1. What is the LCM of 803, 612, 980, 826, 448?
Answer: LCM of 803, 612, 980, 826, 448 is 113659318080.
2. How to calculate the LCM of 803, 612, 980, 826, 448?
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 803, 612, 980, 826, 448.
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}.