LCM of 841, 686, 782, 580, 280
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 841, 686, 782, 580, 280 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 841, 686, 782, 580, 280. So, keep reading to learn more.
Given numbers are 841,686,782,580,280
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 841,686,782,580,280 is 4511561320.
Find LCM of 841,686,782,580,280 with Prime Factorization
| 2 | 841, 686, 782, 580, 280 |
| 2 | 841, 343, 391, 290, 140 |
| 5 | 841, 343, 391, 145, 70 |
| 7 | 841, 343, 391, 29, 14 |
| 29 | 841, 49, 391, 29, 2 |
| 1, 49, 391, 29, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 29 x 1 x 49 x 391 x 29 x 2 = 4511561320
Therefore, the lowest common multiple of 841,686,782,580,280 is 4511561320.
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.
841 x 686 x 782 x 580 x 280 = 73267755836800
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.
841 : 1, 29, 841
686 : 1, 2, 7, 14, 49, 98, 343, 686
782 : 1, 2, 17, 23, 34, 46, 391, 782
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,686,782,580,280, is 1.
Now, the common factors can be found like this.
841:29x 29
686:2x 7x 7x 7
782:2x 17x 23
580:2x 2x 5x 29
280:2x 2x 2x 5x 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 5x 7x 29 = 16240
Therefore, the value for common factors is 16240.
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 = 73267755836800/(1x16240)
LCM = 73267755836800/16240
LCM = 4511561320
Thus, we can understand that the LCM of 841,686,782,580,280 is 4511561320.
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FAQs on LCM of 841, 686, 782, 580, 280
1. What is the LCM of 841, 686, 782, 580, 280?
Answer: LCM of 841, 686, 782, 580, 280 is 4511561320.
2. How to calculate the LCM of 841, 686, 782, 580, 280?
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 841, 686, 782, 580, 280.
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}.