LCM of 367, 663, 298, 195
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 367, 663, 298, 195 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 367, 663, 298, 195. So, keep reading to learn more.
Given numbers are 367,663,298,195
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 367,663,298,195 is 362548290.
Find LCM of 367,663,298,195 with Prime Factorization
| 3 | 367, 663, 298, 195 |
| 13 | 367, 221, 298, 65 |
| 367, 17, 298, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 367 x 17 x 298 x 5 = 362548290
Therefore, the lowest common multiple of 367,663,298,195 is 362548290.
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.
367 x 663 x 298 x 195 = 14139383310
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.
367 : 1, 367
663 : 1, 3, 13, 17, 39, 51, 221, 663
298 : 1, 2, 149, 298
195 : 1, 3, 5, 13, 15, 39, 65, 195
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,663,298,195, is 1.
Now, the common factors can be found like this.
367:367
663:3x 13x 17
298:2x 149
195:3x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13 = 39
Therefore, the value for common factors is 39.
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 = 14139383310/(1x39)
LCM = 14139383310/39
LCM = 362548290
Thus, we can understand that the LCM of 367,663,298,195 is 362548290.
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FAQs on LCM of 367, 663, 298, 195
1. What is the LCM of 367, 663, 298, 195?
Answer: LCM of 367, 663, 298, 195 is 362548290.
2. How to calculate the LCM of 367, 663, 298, 195?
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 367, 663, 298, 195.
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}.