LCM of 203, 634, 204, 826, 767
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 203, 634, 204, 826, 767 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 203, 634, 204, 826, 767. So, keep reading to learn more.
Given numbers are 203,634,204,826,767
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 203,634,204,826,767 is 10068872268.
Find LCM of 203,634,204,826,767 with Prime Factorization
| 2 | 203, 634, 204, 826, 767 |
| 7 | 203, 317, 102, 413, 767 |
| 59 | 29, 317, 102, 59, 767 |
| 29, 317, 102, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 59 x 29 x 317 x 102 x 1 x 13 = 10068872268
Therefore, the lowest common multiple of 203,634,204,826,767 is 10068872268.
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.
203 x 634 x 204 x 826 x 767 = 16633776986736
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.
203 : 1, 7, 29, 203
634 : 1, 2, 317, 634
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
826 : 1, 2, 7, 14, 59, 118, 413, 826
767 : 1, 13, 59, 767
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 203,634,204,826,767, is 1.
Now, the common factors can be found like this.
203:7x 29
634:2x 317
204:2x 2x 3x 17
826:2x 7x 59
767:13x 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 = 16633776986736/(1x1652)
LCM = 16633776986736/1652
LCM = 10068872268
Thus, we can understand that the LCM of 203,634,204,826,767 is 10068872268.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 203, 634, 204, 826, 767
1. What is the LCM of 203, 634, 204, 826, 767?
Answer: LCM of 203, 634, 204, 826, 767 is 10068872268.
2. How to calculate the LCM of 203, 634, 204, 826, 767?
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 203, 634, 204, 826, 767.
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}.