LCM of 236, 792, 455, 547, 351
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 236, 792, 455, 547, 351 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, 792, 455, 547, 351. So, keep reading to learn more.
Given numbers are 236,792,455,547,351
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 236,792,455,547,351 is 34889694840.
Find LCM of 236,792,455,547,351 with Prime Factorization
| 2 | 236, 792, 455, 547, 351 |
| 2 | 118, 396, 455, 547, 351 |
| 3 | 59, 198, 455, 547, 351 |
| 3 | 59, 66, 455, 547, 117 |
| 13 | 59, 22, 455, 547, 39 |
| 59, 22, 35, 547, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 59 x 22 x 35 x 547 x 3 = 34889694840
Therefore, the lowest common multiple of 236,792,455,547,351 is 34889694840.
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 792 x 455 x 547 x 351 = 16328377185120
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
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
455 : 1, 5, 7, 13, 35, 65, 91, 455
547 : 1, 547
351 : 1, 3, 9, 13, 27, 39, 117, 351
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,792,455,547,351, is 1.
Now, the common factors can be found like this.
236:2x 2x 59
792:2x 2x 2x 3x 3x 11
455:5x 7x 13
547:547
351:3x 3x 3x 13
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 3x 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 16328377185120/(1x468)
LCM = 16328377185120/468
LCM = 34889694840
Thus, we can understand that the LCM of 236,792,455,547,351 is 34889694840.
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FAQs on LCM of 236, 792, 455, 547, 351
1. What is the LCM of 236, 792, 455, 547, 351?
Answer: LCM of 236, 792, 455, 547, 351 is 34889694840.
2. How to calculate the LCM of 236, 792, 455, 547, 351?
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, 792, 455, 547, 351.
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}.