LCM of 146, 758, 462, 252, 833
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 146, 758, 462, 252, 833 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 146, 758, 462, 252, 833. So, keep reading to learn more.
Given numbers are 146,758,462,252,833
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,758,462,252,833 is 9126457956.
Find LCM of 146,758,462,252,833 with Prime Factorization
| 2 | 146, 758, 462, 252, 833 |
| 3 | 73, 379, 231, 126, 833 |
| 7 | 73, 379, 77, 42, 833 |
| 73, 379, 11, 6, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 73 x 379 x 11 x 6 x 119 = 9126457956
Therefore, the lowest common multiple of 146,758,462,252,833 is 9126457956.
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.
146 x 758 x 462 x 252 x 833 = 10732714556256
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.
146 : 1, 2, 73, 146
758 : 1, 2, 379, 758
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
833 : 1, 7, 17, 49, 119, 833
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,758,462,252,833, is 1.
Now, the common factors can be found like this.
146:2x 73
758:2x 379
462:2x 3x 7x 11
252:2x 2x 3x 3x 7
833:7x 7x 17
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 7x 7 = 1176
Therefore, the value for common factors is 1176.
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 = 10732714556256/(1x1176)
LCM = 10732714556256/1176
LCM = 9126457956
Thus, we can understand that the LCM of 146,758,462,252,833 is 9126457956.
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FAQs on LCM of 146, 758, 462, 252, 833
1. What is the LCM of 146, 758, 462, 252, 833?
Answer: LCM of 146, 758, 462, 252, 833 is 9126457956.
2. How to calculate the LCM of 146, 758, 462, 252, 833?
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 146, 758, 462, 252, 833.
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}.