LCM of 236, 401, 826, 603, 639
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 236, 401, 826, 603, 639 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 236, 401, 826, 603, 639. So, keep reading to learn more.
Given numbers are 236,401,826,603,639
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 236,401,826,603,639 is 28361557476.
Find LCM of 236,401,826,603,639 with Prime Factorization
| 2 | 236, 401, 826, 603, 639 |
| 3 | 118, 401, 413, 603, 639 |
| 3 | 118, 401, 413, 201, 213 |
| 59 | 118, 401, 413, 67, 71 |
| 2, 401, 7, 67, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 59 x 2 x 401 x 7 x 67 x 71 = 28361557476
Therefore, the lowest common multiple of 236,401,826,603,639 is 28361557476.
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.
236 x 401 x 826 x 603 x 639 = 30119974039512
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.
236 : 1, 2, 4, 59, 118, 236
401 : 1, 401
826 : 1, 2, 7, 14, 59, 118, 413, 826
603 : 1, 3, 9, 67, 201, 603
639 : 1, 3, 9, 71, 213, 639
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,401,826,603,639, is 1.
Now, the common factors can be found like this.
236:2x 2x 59
401:401
826:2x 7x 59
603:3x 3x 67
639:3x 3x 71
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 3x 59 = 1062
Therefore, the value for common factors is 1062.
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 = 30119974039512/(1x1062)
LCM = 30119974039512/1062
LCM = 28361557476
Thus, we can understand that the LCM of 236,401,826,603,639 is 28361557476.
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FAQs on LCM of 236, 401, 826, 603, 639
1. What is the LCM of 236, 401, 826, 603, 639?
Answer: LCM of 236, 401, 826, 603, 639 is 28361557476.
2. How to calculate the LCM of 236, 401, 826, 603, 639?
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 236, 401, 826, 603, 639.
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}.