LCM of 676, 458, 169, 908, 503
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 458, 169, 908, 503 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, 458, 169, 908, 503. So, keep reading to learn more.
Given numbers are 676,458,169,908,503
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,458,169,908,503 is 17675675524.
Find LCM of 676,458,169,908,503 with Prime Factorization
| 2 | 676, 458, 169, 908, 503 |
| 2 | 338, 229, 169, 454, 503 |
| 13 | 169, 229, 169, 227, 503 |
| 13 | 13, 229, 13, 227, 503 |
| 1, 229, 1, 227, 503 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 13 x 1 x 229 x 1 x 227 x 503 = 17675675524
Therefore, the lowest common multiple of 676,458,169,908,503 is 17675675524.
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 458 x 169 x 908 x 503 = 23897513308448
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
458 : 1, 2, 229, 458
169 : 1, 13, 169
908 : 1, 2, 4, 227, 454, 908
503 : 1, 503
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,458,169,908,503, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
458:2x 229
169:13x 13
908:2x 2x 227
503:503
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 13x 13 = 1352
Therefore, the value for common factors is 1352.
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 = 23897513308448/(1x1352)
LCM = 23897513308448/1352
LCM = 17675675524
Thus, we can understand that the LCM of 676,458,169,908,503 is 17675675524.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 676, 458, 169, 908, 503
1. What is the LCM of 676, 458, 169, 908, 503?
Answer: LCM of 676, 458, 169, 908, 503 is 17675675524.
2. How to calculate the LCM of 676, 458, 169, 908, 503?
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, 458, 169, 908, 503.
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}.