LCM of 368, 796, 116, 474
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 796, 116, 474 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 368, 796, 116, 474. So, keep reading to learn more.
Given numbers are 368,796,116,474
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,796,116,474 is 503323536.
Find LCM of 368,796,116,474 with Prime Factorization
| 2 | 368, 796, 116, 474 |
| 2 | 184, 398, 58, 237 |
| 92, 199, 29, 237 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 92 x 199 x 29 x 237 = 503323536
Therefore, the lowest common multiple of 368,796,116,474 is 503323536.
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.
368 x 796 x 116 x 474 = 16106353152
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
796 : 1, 2, 4, 199, 398, 796
116 : 1, 2, 4, 29, 58, 116
474 : 1, 2, 3, 6, 79, 158, 237, 474
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,796,116,474, is 2.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
796:2x 2x 199
116:2x 2x 29
474:2x 3x 79
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 2 = 16
Therefore, the value for common factors is 16.
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 = 16106353152/(2x16)
LCM = 16106353152/32
LCM = 503323536
Thus, we can understand that the LCM of 368,796,116,474 is 503323536.
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FAQs on LCM of 368, 796, 116, 474
1. What is the LCM of 368, 796, 116, 474?
Answer: LCM of 368, 796, 116, 474 is 503323536.
2. How to calculate the LCM of 368, 796, 116, 474?
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 368, 796, 116, 474.
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}.