LCM of 635, 832, 806, 948, 428
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 635, 832, 806, 948, 428 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 635, 832, 806, 948, 428. So, keep reading to learn more.
Given numbers are 635,832,806,948,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,832,806,948,428 is 415327673280.
Find LCM of 635,832,806,948,428 with Prime Factorization
| 2 | 635, 832, 806, 948, 428 |
| 2 | 635, 416, 403, 474, 214 |
| 13 | 635, 208, 403, 237, 107 |
| 635, 16, 31, 237, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 635 x 16 x 31 x 237 x 107 = 415327673280
Therefore, the lowest common multiple of 635,832,806,948,428 is 415327673280.
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.
635 x 832 x 806 x 948 x 428 = 172776312084480
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.
635 : 1, 5, 127, 635
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
806 : 1, 2, 13, 26, 31, 62, 403, 806
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
428 : 1, 2, 4, 107, 214, 428
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,832,806,948,428, is 1.
Now, the common factors can be found like this.
635:5x 127
832:2x 2x 2x 2x 2x 2x 13
806:2x 13x 31
948:2x 2x 3x 79
428:2x 2x 107
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 2x 2x 13 = 416
Therefore, the value for common factors is 416.
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 = 172776312084480/(1x416)
LCM = 172776312084480/416
LCM = 415327673280
Thus, we can understand that the LCM of 635,832,806,948,428 is 415327673280.
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FAQs on LCM of 635, 832, 806, 948, 428
1. What is the LCM of 635, 832, 806, 948, 428?
Answer: LCM of 635, 832, 806, 948, 428 is 415327673280.
2. How to calculate the LCM of 635, 832, 806, 948, 428?
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 635, 832, 806, 948, 428.
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}.