LCM of 848, 949, 496, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 848, 949, 496, 949 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 848, 949, 496, 949. So, keep reading to learn more.
Given numbers are 848,949,496,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 848,949,496,949 is 24947312.
Find LCM of 848,949,496,949 with Prime Factorization
| 2 | 848, 949, 496, 949 |
| 2 | 424, 949, 248, 949 |
| 2 | 212, 949, 124, 949 |
| 2 | 106, 949, 62, 949 |
| 13 | 53, 949, 31, 949 |
| 73 | 53, 73, 31, 73 |
| 53, 1, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 73 x 53 x 1 x 31 x 1 = 24947312
Therefore, the lowest common multiple of 848,949,496,949 is 24947312.
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.
848 x 949 x 496 x 949 = 378799985408
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.
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
949 : 1, 13, 73, 949
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 848,949,496,949, is 1.
Now, the common factors can be found like this.
848:2x 2x 2x 2x 53
949:13x 73
496:2x 2x 2x 2x 31
949:13x 73
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 13x 73 = 15184
Therefore, the value for common factors is 15184.
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 = 378799985408/(1x15184)
LCM = 378799985408/15184
LCM = 24947312
Thus, we can understand that the LCM of 848,949,496,949 is 24947312.
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FAQs on LCM of 848, 949, 496, 949
1. What is the LCM of 848, 949, 496, 949?
Answer: LCM of 848, 949, 496, 949 is 24947312.
2. How to calculate the LCM of 848, 949, 496, 949?
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 848, 949, 496, 949.
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}.