LCM of 448, 312, 692, 352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 448, 312, 692, 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 448, 312, 692, 352. So, keep reading to learn more.
Given numbers are 448,312,692,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 448,312,692,352 is 33249216.
Find LCM of 448,312,692,352 with Prime Factorization
| 2 | 448, 312, 692, 352 |
| 2 | 224, 156, 346, 176 |
| 2 | 112, 78, 173, 88 |
| 2 | 56, 39, 173, 44 |
| 2 | 28, 39, 173, 22 |
| 14, 39, 173, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 14 x 39 x 173 x 11 = 33249216
Therefore, the lowest common multiple of 448,312,692,352 is 33249216.
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.
448 x 312 x 692 x 352 = 34047197184
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.
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
692 : 1, 2, 4, 173, 346, 692
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 448,312,692,352, is 4.
Now, the common factors can be found like this.
448:2x 2x 2x 2x 2x 2x 7
312:2x 2x 2x 3x 13
692:2x 2x 173
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 2x 2 = 256
Therefore, the value for common factors is 256.
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 = 34047197184/(4x256)
LCM = 34047197184/1024
LCM = 33249216
Thus, we can understand that the LCM of 448,312,692,352 is 33249216.
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FAQs on LCM of 448, 312, 692, 352
1. What is the LCM of 448, 312, 692, 352?
Answer: LCM of 448, 312, 692, 352 is 33249216.
2. How to calculate the LCM of 448, 312, 692, 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 448, 312, 692, 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}.