LCM of 724, 336, 904, 352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 336, 904, 352 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 724, 336, 904, 352. So, keep reading to learn more.
Given numbers are 724,336,904,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,336,904,352 is 151188576.
Find LCM of 724,336,904,352 with Prime Factorization
| 2 | 724, 336, 904, 352 |
| 2 | 362, 168, 452, 176 |
| 2 | 181, 84, 226, 88 |
| 2 | 181, 42, 113, 44 |
| 181, 21, 113, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 181 x 21 x 113 x 22 = 151188576
Therefore, the lowest common multiple of 724,336,904,352 is 151188576.
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.
724 x 336 x 904 x 352 = 77408550912
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.
724 : 1, 2, 4, 181, 362, 724
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
904 : 1, 2, 4, 8, 113, 226, 452, 904
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,336,904,352, is 4.
Now, the common factors can be found like this.
724:2x 2x 181
336:2x 2x 2x 2x 3x 7
904:2x 2x 2x 113
352:2x 2x 2x 2x 2x 11
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 2 = 128
Therefore, the value for common factors is 128.
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 = 77408550912/(4x128)
LCM = 77408550912/512
LCM = 151188576
Thus, we can understand that the LCM of 724,336,904,352 is 151188576.
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FAQs on LCM of 724, 336, 904, 352
1. What is the LCM of 724, 336, 904, 352?
Answer: LCM of 724, 336, 904, 352 is 151188576.
2. How to calculate the LCM of 724, 336, 904, 352?
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 724, 336, 904, 352.
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}.