LCM of 118, 791, 799, 890, 826
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 118, 791, 799, 890, 826 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 118, 791, 799, 890, 826. So, keep reading to learn more.
Given numbers are 118,791,799,890,826
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 118,791,799,890,826 is 33186792590.
Find LCM of 118,791,799,890,826 with Prime Factorization
| 2 | 118, 791, 799, 890, 826 |
| 7 | 59, 791, 799, 445, 413 |
| 59 | 59, 113, 799, 445, 59 |
| 1, 113, 799, 445, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 59 x 1 x 113 x 799 x 445 x 1 = 33186792590
Therefore, the lowest common multiple of 118,791,799,890,826 is 33186792590.
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.
118 x 791 x 799 x 890 x 826 = 54824581358680
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.
118 : 1, 2, 59, 118
791 : 1, 7, 113, 791
799 : 1, 17, 47, 799
890 : 1, 2, 5, 10, 89, 178, 445, 890
826 : 1, 2, 7, 14, 59, 118, 413, 826
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,791,799,890,826, is 1.
Now, the common factors can be found like this.
118:2x 59
791:7x 113
799:17x 47
890:2x 5x 89
826:2x 7x 59
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 7x 59 = 1652
Therefore, the value for common factors is 1652.
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 = 54824581358680/(1x1652)
LCM = 54824581358680/1652
LCM = 33186792590
Thus, we can understand that the LCM of 118,791,799,890,826 is 33186792590.
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FAQs on LCM of 118, 791, 799, 890, 826
1. What is the LCM of 118, 791, 799, 890, 826?
Answer: LCM of 118, 791, 799, 890, 826 is 33186792590.
2. How to calculate the LCM of 118, 791, 799, 890, 826?
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 118, 791, 799, 890, 826.
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}.