LCM of 654, 946, 594, 850, 834
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 946, 594, 850, 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 654, 946, 594, 850, 834. So, keep reading to learn more.
Given numbers are 654,946,594,850,834
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,946,594,850,834 is 164469407850.
Find LCM of 654,946,594,850,834 with Prime Factorization
| 2 | 654, 946, 594, 850, 834 |
| 3 | 327, 473, 297, 425, 417 |
| 11 | 109, 473, 99, 425, 139 |
| 109, 43, 9, 425, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 109 x 43 x 9 x 425 x 139 = 164469407850
Therefore, the lowest common multiple of 654,946,594,850,834 is 164469407850.
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.
654 x 946 x 594 x 850 x 834 = 260519542034400
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.
654 : 1, 2, 3, 6, 109, 218, 327, 654
946 : 1, 2, 11, 22, 43, 86, 473, 946
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
834 : 1, 2, 3, 6, 139, 278, 417, 834
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,946,594,850,834, is 2.
Now, the common factors can be found like this.
654:2x 3x 109
946:2x 11x 43
594:2x 3x 3x 3x 11
850:2x 5x 5x 17
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 2x 2x 3x 3x 11 = 792
Therefore, the value for common factors is 792.
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 = 260519542034400/(2x792)
LCM = 260519542034400/1584
LCM = 164469407850
Thus, we can understand that the LCM of 654,946,594,850,834 is 164469407850.
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FAQs on LCM of 654, 946, 594, 850, 834
1. What is the LCM of 654, 946, 594, 850, 834?
Answer: LCM of 654, 946, 594, 850, 834 is 164469407850.
2. How to calculate the LCM of 654, 946, 594, 850, 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 654, 946, 594, 850, 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}.