LCM of 923, 291, 679, 842, 834
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 291, 679, 842, 834 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 923, 291, 679, 842, 834. So, keep reading to learn more.
Given numbers are 923,291,679,842,834
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,291,679,842,834 is 220049112738.
Find LCM of 923,291,679,842,834 with Prime Factorization
| 2 | 923, 291, 679, 842, 834 |
| 3 | 923, 291, 679, 421, 417 |
| 97 | 923, 97, 679, 421, 139 |
| 923, 1, 7, 421, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 97 x 923 x 1 x 7 x 421 x 139 = 220049112738
Therefore, the lowest common multiple of 923,291,679,842,834 is 220049112738.
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.
923 x 291 x 679 x 842 x 834 = 128068583613516
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.
923 : 1, 13, 71, 923
291 : 1, 3, 97, 291
679 : 1, 7, 97, 679
842 : 1, 2, 421, 842
834 : 1, 2, 3, 6, 139, 278, 417, 834
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,291,679,842,834, is 1.
Now, the common factors can be found like this.
923:13x 71
291:3x 97
679:7x 97
842:2x 421
834:2x 3x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 97 = 582
Therefore, the value for common factors is 582.
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 = 128068583613516/(1x582)
LCM = 128068583613516/582
LCM = 220049112738
Thus, we can understand that the LCM of 923,291,679,842,834 is 220049112738.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 923, 291, 679, 842, 834
1. What is the LCM of 923, 291, 679, 842, 834?
Answer: LCM of 923, 291, 679, 842, 834 is 220049112738.
2. How to calculate the LCM of 923, 291, 679, 842, 834?
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 923, 291, 679, 842, 834.
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}.