LCM of 549, 755, 903, 790, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 549, 755, 903, 790, 989 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 549, 755, 903, 790, 989. So, keep reading to learn more.
Given numbers are 549,755,903,790,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,755,903,790,989 is 453388723830.
Find LCM of 549,755,903,790,989 with Prime Factorization
| 3 | 549, 755, 903, 790, 989 |
| 5 | 183, 755, 301, 790, 989 |
| 43 | 183, 151, 301, 158, 989 |
| 183, 151, 7, 158, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 43 x 183 x 151 x 7 x 158 x 23 = 453388723830
Therefore, the lowest common multiple of 549,755,903,790,989 is 453388723830.
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.
549 x 755 x 903 x 790 x 989 = 292435726870350
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.
549 : 1, 3, 9, 61, 183, 549
755 : 1, 5, 151, 755
903 : 1, 3, 7, 21, 43, 129, 301, 903
790 : 1, 2, 5, 10, 79, 158, 395, 790
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,755,903,790,989, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
755:5x 151
903:3x 7x 43
790:2x 5x 79
989:23x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 43 = 645
Therefore, the value for common factors is 645.
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 = 292435726870350/(1x645)
LCM = 292435726870350/645
LCM = 453388723830
Thus, we can understand that the LCM of 549,755,903,790,989 is 453388723830.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 549, 755, 903, 790, 989
1. What is the LCM of 549, 755, 903, 790, 989?
Answer: LCM of 549, 755, 903, 790, 989 is 453388723830.
2. How to calculate the LCM of 549, 755, 903, 790, 989?
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 549, 755, 903, 790, 989.
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}.