LCM of 463, 434, 930, 835
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 463, 434, 930, 835 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 463, 434, 930, 835. So, keep reading to learn more.
Given numbers are 463,434,930,835
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,434,930,835 is 503359710.
Find LCM of 463,434,930,835 with Prime Factorization
| 2 | 463, 434, 930, 835 |
| 5 | 463, 217, 465, 835 |
| 31 | 463, 217, 93, 167 |
| 463, 7, 3, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 31 x 463 x 7 x 3 x 167 = 503359710
Therefore, the lowest common multiple of 463,434,930,835 is 503359710.
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.
463 x 434 x 930 x 835 = 156041510100
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.
463 : 1, 463
434 : 1, 2, 7, 14, 31, 62, 217, 434
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
835 : 1, 5, 167, 835
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,434,930,835, is 1.
Now, the common factors can be found like this.
463:463
434:2x 7x 31
930:2x 3x 5x 31
835:5x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 31 = 310
Therefore, the value for common factors is 310.
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 = 156041510100/(1x310)
LCM = 156041510100/310
LCM = 503359710
Thus, we can understand that the LCM of 463,434,930,835 is 503359710.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 463, 434, 930, 835
1. What is the LCM of 463, 434, 930, 835?
Answer: LCM of 463, 434, 930, 835 is 503359710.
2. How to calculate the LCM of 463, 434, 930, 835?
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 463, 434, 930, 835.
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}.