LCM of 826, 676, 913, 436, 550
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 826, 676, 913, 436, 550 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 826, 676, 913, 436, 550. So, keep reading to learn more.
Given numbers are 826,676,913,436,550
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 826,676,913,436,550 is 694598804900.
Find LCM of 826,676,913,436,550 with Prime Factorization
| 2 | 826, 676, 913, 436, 550 |
| 2 | 413, 338, 913, 218, 275 |
| 11 | 413, 169, 913, 109, 275 |
| 413, 169, 83, 109, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 413 x 169 x 83 x 109 x 25 = 694598804900
Therefore, the lowest common multiple of 826,676,913,436,550 is 694598804900.
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.
826 x 676 x 913 x 436 x 550 = 122249389662400
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.
826 : 1, 2, 7, 14, 59, 118, 413, 826
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
913 : 1, 11, 83, 913
436 : 1, 2, 4, 109, 218, 436
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,676,913,436,550, is 1.
Now, the common factors can be found like this.
826:2x 7x 59
676:2x 2x 13x 13
913:11x 83
436:2x 2x 109
550:2x 5x 5x 11
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 11 = 176
Therefore, the value for common factors is 176.
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 = 122249389662400/(1x176)
LCM = 122249389662400/176
LCM = 694598804900
Thus, we can understand that the LCM of 826,676,913,436,550 is 694598804900.
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FAQs on LCM of 826, 676, 913, 436, 550
1. What is the LCM of 826, 676, 913, 436, 550?
Answer: LCM of 826, 676, 913, 436, 550 is 694598804900.
2. How to calculate the LCM of 826, 676, 913, 436, 550?
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 826, 676, 913, 436, 550.
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}.