LCM of 853, 949, 248, 949, 372
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 853, 949, 248, 949, 372 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 853, 949, 248, 949, 372. So, keep reading to learn more.
Given numbers are 853,949,248,949,372
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 853,949,248,949,372 is 602265768.
Find LCM of 853,949,248,949,372 with Prime Factorization
| 2 | 853, 949, 248, 949, 372 |
| 2 | 853, 949, 124, 949, 186 |
| 13 | 853, 949, 62, 949, 93 |
| 31 | 853, 73, 62, 73, 93 |
| 73 | 853, 73, 2, 73, 3 |
| 853, 1, 2, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 31 x 73 x 853 x 1 x 2 x 1 x 3 = 602265768
Therefore, the lowest common multiple of 853,949,248,949,372 is 602265768.
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.
853 x 949 x 248 x 949 x 372 = 70872226515168
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.
853 : 1, 853
949 : 1, 13, 73, 949
248 : 1, 2, 4, 8, 31, 62, 124, 248
949 : 1, 13, 73, 949
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,949,248,949,372, is 1.
Now, the common factors can be found like this.
853:853
949:13x 73
248:2x 2x 2x 31
949:13x 73
372:2x 2x 3x 31
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 13x 31x 73 = 117676
Therefore, the value for common factors is 117676.
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 = 70872226515168/(1x117676)
LCM = 70872226515168/117676
LCM = 602265768
Thus, we can understand that the LCM of 853,949,248,949,372 is 602265768.
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FAQs on LCM of 853, 949, 248, 949, 372
1. What is the LCM of 853, 949, 248, 949, 372?
Answer: LCM of 853, 949, 248, 949, 372 is 602265768.
2. How to calculate the LCM of 853, 949, 248, 949, 372?
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 853, 949, 248, 949, 372.
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}.