LCM of 854, 830, 816, 490, 562
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 854, 830, 816, 490, 562 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 854, 830, 816, 490, 562. So, keep reading to learn more.
Given numbers are 854,830,816,490,562
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 854,830,816,490,562 is 284426783760.
Find LCM of 854,830,816,490,562 with Prime Factorization
| 2 | 854, 830, 816, 490, 562 |
| 5 | 427, 415, 408, 245, 281 |
| 7 | 427, 83, 408, 49, 281 |
| 61, 83, 408, 7, 281 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 61 x 83 x 408 x 7 x 281 = 284426783760
Therefore, the lowest common multiple of 854,830,816,490,562 is 284426783760.
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.
854 x 830 x 816 x 490 x 562 = 159278998905600
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.
854 : 1, 2, 7, 14, 61, 122, 427, 854
830 : 1, 2, 5, 10, 83, 166, 415, 830
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
562 : 1, 2, 281, 562
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,830,816,490,562, is 2.
Now, the common factors can be found like this.
854:2x 7x 61
830:2x 5x 83
816:2x 2x 2x 2x 3x 17
490:2x 5x 7x 7
562:2x 281
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 5x 7 = 280
Therefore, the value for common factors is 280.
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 = 159278998905600/(2x280)
LCM = 159278998905600/560
LCM = 284426783760
Thus, we can understand that the LCM of 854,830,816,490,562 is 284426783760.
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FAQs on LCM of 854, 830, 816, 490, 562
1. What is the LCM of 854, 830, 816, 490, 562?
Answer: LCM of 854, 830, 816, 490, 562 is 284426783760.
2. How to calculate the LCM of 854, 830, 816, 490, 562?
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 854, 830, 816, 490, 562.
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}.