LCM of 127, 303, 674, 949, 364
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 127, 303, 674, 949, 364 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 127, 303, 674, 949, 364. So, keep reading to learn more.
Given numbers are 127,303,674,949,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 127,303,674,949,364 is 344588273484.
Find LCM of 127,303,674,949,364 with Prime Factorization
| 2 | 127, 303, 674, 949, 364 |
| 13 | 127, 303, 337, 949, 182 |
| 127, 303, 337, 73, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 127 x 303 x 337 x 73 x 14 = 344588273484
Therefore, the lowest common multiple of 127,303,674,949,364 is 344588273484.
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.
127 x 303 x 674 x 949 x 364 = 8959295110584
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.
127 : 1, 127
303 : 1, 3, 101, 303
674 : 1, 2, 337, 674
949 : 1, 13, 73, 949
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 127,303,674,949,364, is 1.
Now, the common factors can be found like this.
127:127
303:3x 101
674:2x 337
949:13x 73
364:2x 2x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 8959295110584/(1x26)
LCM = 8959295110584/26
LCM = 344588273484
Thus, we can understand that the LCM of 127,303,674,949,364 is 344588273484.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 127, 303, 674, 949, 364
1. What is the LCM of 127, 303, 674, 949, 364?
Answer: LCM of 127, 303, 674, 949, 364 is 344588273484.
2. How to calculate the LCM of 127, 303, 674, 949, 364?
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 127, 303, 674, 949, 364.
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}.