LCM of 826, 281, 840, 457, 322
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 826, 281, 840, 457, 322 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 826, 281, 840, 457, 322. So, keep reading to learn more.
Given numbers are 826,281,840,457,322
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 826,281,840,457,322 is 146379969960.
Find LCM of 826,281,840,457,322 with Prime Factorization
| 2 | 826, 281, 840, 457, 322 |
| 7 | 413, 281, 420, 457, 161 |
| 59, 281, 60, 457, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 59 x 281 x 60 x 457 x 23 = 146379969960
Therefore, the lowest common multiple of 826,281,840,457,322 is 146379969960.
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.
826 x 281 x 840 x 457 x 322 = 28690474112160
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.
826 : 1, 2, 7, 14, 59, 118, 413, 826
281 : 1, 281
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
457 : 1, 457
322 : 1, 2, 7, 14, 23, 46, 161, 322
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,281,840,457,322, is 1.
Now, the common factors can be found like this.
826:2x 7x 59
281:281
840:2x 2x 2x 3x 5x 7
457:457
322:2x 7x 23
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 7x 7 = 196
Therefore, the value for common factors is 196.
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 = 28690474112160/(1x196)
LCM = 28690474112160/196
LCM = 146379969960
Thus, we can understand that the LCM of 826,281,840,457,322 is 146379969960.
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FAQs on LCM of 826, 281, 840, 457, 322
1. What is the LCM of 826, 281, 840, 457, 322?
Answer: LCM of 826, 281, 840, 457, 322 is 146379969960.
2. How to calculate the LCM of 826, 281, 840, 457, 322?
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 826, 281, 840, 457, 322.
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}.