LCM of 676, 718, 338, 909, 556
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 718, 338, 909, 556 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, 718, 338, 909, 556. So, keep reading to learn more.
Given numbers are 676,718,338,909,556
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,718,338,909,556 is 30663366084.
Find LCM of 676,718,338,909,556 with Prime Factorization
| 2 | 676, 718, 338, 909, 556 |
| 2 | 338, 359, 169, 909, 278 |
| 13 | 169, 359, 169, 909, 139 |
| 13 | 13, 359, 13, 909, 139 |
| 1, 359, 1, 909, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 13 x 1 x 359 x 1 x 909 x 139 = 30663366084
Therefore, the lowest common multiple of 676,718,338,909,556 is 30663366084.
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 718 x 338 x 909 x 556 = 82913741891136
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
718 : 1, 2, 359, 718
338 : 1, 2, 13, 26, 169, 338
909 : 1, 3, 9, 101, 303, 909
556 : 1, 2, 4, 139, 278, 556
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,718,338,909,556, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
718:2x 359
338:2x 13x 13
909:3x 3x 101
556:2x 2x 139
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 13 = 2704
Therefore, the value for common factors is 2704.
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 = 82913741891136/(1x2704)
LCM = 82913741891136/2704
LCM = 30663366084
Thus, we can understand that the LCM of 676,718,338,909,556 is 30663366084.
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FAQs on LCM of 676, 718, 338, 909, 556
1. What is the LCM of 676, 718, 338, 909, 556?
Answer: LCM of 676, 718, 338, 909, 556 is 30663366084.
2. How to calculate the LCM of 676, 718, 338, 909, 556?
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, 718, 338, 909, 556.
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}.