LCM of 834, 561, 638, 691, 203
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 561, 638, 691, 203 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 834, 561, 638, 691, 203. So, keep reading to learn more.
Given numbers are 834,561,638,691,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,561,638,691,203 is 21876696534.
Find LCM of 834,561,638,691,203 with Prime Factorization
| 2 | 834, 561, 638, 691, 203 |
| 3 | 417, 561, 319, 691, 203 |
| 11 | 139, 187, 319, 691, 203 |
| 29 | 139, 17, 29, 691, 203 |
| 139, 17, 1, 691, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 29 x 139 x 17 x 1 x 691 x 7 = 21876696534
Therefore, the lowest common multiple of 834,561,638,691,203 is 21876696534.
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.
834 x 561 x 638 x 691 x 203 = 41871997166076
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
561 : 1, 3, 11, 17, 33, 51, 187, 561
638 : 1, 2, 11, 22, 29, 58, 319, 638
691 : 1, 691
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,561,638,691,203, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
561:3x 11x 17
638:2x 11x 29
691:691
203:7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 29 = 1914
Therefore, the value for common factors is 1914.
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 = 41871997166076/(1x1914)
LCM = 41871997166076/1914
LCM = 21876696534
Thus, we can understand that the LCM of 834,561,638,691,203 is 21876696534.
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FAQs on LCM of 834, 561, 638, 691, 203
1. What is the LCM of 834, 561, 638, 691, 203?
Answer: LCM of 834, 561, 638, 691, 203 is 21876696534.
2. How to calculate the LCM of 834, 561, 638, 691, 203?
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 834, 561, 638, 691, 203.
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}.