LCM of 168, 248, 198, 562, 696
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 168, 248, 198, 562, 696 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 168, 248, 198, 562, 696. So, keep reading to learn more.
Given numbers are 168,248,198,562,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 168,248,198,562,696 is 1400519736.
Find LCM of 168,248,198,562,696 with Prime Factorization
| 2 | 168, 248, 198, 562, 696 |
| 2 | 84, 124, 99, 281, 348 |
| 2 | 42, 62, 99, 281, 174 |
| 3 | 21, 31, 99, 281, 87 |
| 7, 31, 33, 281, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 31 x 33 x 281 x 29 = 1400519736
Therefore, the lowest common multiple of 168,248,198,562,696 is 1400519736.
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.
168 x 248 x 198 x 562 x 696 = 3226797471744
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.
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
248 : 1, 2, 4, 8, 31, 62, 124, 248
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
562 : 1, 2, 281, 562
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,248,198,562,696, is 2.
Now, the common factors can be found like this.
168:2x 2x 2x 3x 7
248:2x 2x 2x 31
198:2x 3x 3x 11
562:2x 281
696:2x 2x 2x 3x 29
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 3 = 1152
Therefore, the value for common factors is 1152.
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 = 3226797471744/(2x1152)
LCM = 3226797471744/2304
LCM = 1400519736
Thus, we can understand that the LCM of 168,248,198,562,696 is 1400519736.
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FAQs on LCM of 168, 248, 198, 562, 696
1. What is the LCM of 168, 248, 198, 562, 696?
Answer: LCM of 168, 248, 198, 562, 696 is 1400519736.
2. How to calculate the LCM of 168, 248, 198, 562, 696?
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 168, 248, 198, 562, 696.
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}.