LCM of 834, 638, 406, 706, 867
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 638, 406, 706, 867 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, 638, 406, 706, 867. So, keep reading to learn more.
Given numbers are 834,638,406,706,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,638,406,706,867 is 189988503474.
Find LCM of 834,638,406,706,867 with Prime Factorization
| 2 | 834, 638, 406, 706, 867 |
| 3 | 417, 319, 203, 353, 867 |
| 29 | 139, 319, 203, 353, 289 |
| 139, 11, 7, 353, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 139 x 11 x 7 x 353 x 289 = 189988503474
Therefore, the lowest common multiple of 834,638,406,706,867 is 189988503474.
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 638 x 406 x 706 x 867 = 132231998417904
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
638 : 1, 2, 11, 22, 29, 58, 319, 638
406 : 1, 2, 7, 14, 29, 58, 203, 406
706 : 1, 2, 353, 706
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,638,406,706,867, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
638:2x 11x 29
406:2x 7x 29
706:2x 353
867:3x 17x 17
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 3x 29 = 696
Therefore, the value for common factors is 696.
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 = 132231998417904/(1x696)
LCM = 132231998417904/696
LCM = 189988503474
Thus, we can understand that the LCM of 834,638,406,706,867 is 189988503474.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 834, 638, 406, 706, 867
1. What is the LCM of 834, 638, 406, 706, 867?
Answer: LCM of 834, 638, 406, 706, 867 is 189988503474.
2. How to calculate the LCM of 834, 638, 406, 706, 867?
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, 638, 406, 706, 867.
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}.