LCM of 392, 432, 726, 824, 301
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 392, 432, 726, 824, 301 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 392, 432, 726, 824, 301. So, keep reading to learn more.
Given numbers are 392,432,726,824,301
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 392,432,726,824,301 is 11344121712.
Find LCM of 392,432,726,824,301 with Prime Factorization
| 2 | 392, 432, 726, 824, 301 |
| 2 | 196, 216, 363, 412, 301 |
| 2 | 98, 108, 363, 206, 301 |
| 3 | 49, 54, 363, 103, 301 |
| 7 | 49, 18, 121, 103, 301 |
| 7, 18, 121, 103, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 7 x 18 x 121 x 103 x 43 = 11344121712
Therefore, the lowest common multiple of 392,432,726,824,301 is 11344121712.
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.
392 x 432 x 726 x 824 x 301 = 30492999161856
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.
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
824 : 1, 2, 4, 8, 103, 206, 412, 824
301 : 1, 7, 43, 301
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,432,726,824,301, is 1.
Now, the common factors can be found like this.
392:2x 2x 2x 7x 7
432:2x 2x 2x 2x 3x 3x 3
726:2x 3x 11x 11
824:2x 2x 2x 103
301:7x 43
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 2x 2x 2x 2x 3x 7 = 2688
Therefore, the value for common factors is 2688.
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 = 30492999161856/(1x2688)
LCM = 30492999161856/2688
LCM = 11344121712
Thus, we can understand that the LCM of 392,432,726,824,301 is 11344121712.
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FAQs on LCM of 392, 432, 726, 824, 301
1. What is the LCM of 392, 432, 726, 824, 301?
Answer: LCM of 392, 432, 726, 824, 301 is 11344121712.
2. How to calculate the LCM of 392, 432, 726, 824, 301?
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 392, 432, 726, 824, 301.
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}.