LCM of 676, 988, 388, 278, 449
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 988, 388, 278, 449 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 676, 988, 388, 278, 449. So, keep reading to learn more.
Given numbers are 676,988,388,278,449
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,988,388,278,449 is 77755867748.
Find LCM of 676,988,388,278,449 with Prime Factorization
| 2 | 676, 988, 388, 278, 449 |
| 2 | 338, 494, 194, 139, 449 |
| 13 | 169, 247, 97, 139, 449 |
| 13, 19, 97, 139, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 13 x 19 x 97 x 139 x 449 = 77755867748
Therefore, the lowest common multiple of 676,988,388,278,449 is 77755867748.
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.
676 x 988 x 388 x 278 x 449 = 32346440983168
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
388 : 1, 2, 4, 97, 194, 388
278 : 1, 2, 139, 278
449 : 1, 449
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,988,388,278,449, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
988:2x 2x 13x 19
388:2x 2x 97
278:2x 139
449:449
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 = 32346440983168/(1x416)
LCM = 32346440983168/416
LCM = 77755867748
Thus, we can understand that the LCM of 676,988,388,278,449 is 77755867748.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 676, 988, 388, 278, 449
1. What is the LCM of 676, 988, 388, 278, 449?
Answer: LCM of 676, 988, 388, 278, 449 is 77755867748.
2. How to calculate the LCM of 676, 988, 388, 278, 449?
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 676, 988, 388, 278, 449.
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}.