LCM of 363, 117, 649, 179
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 363, 117, 649, 179 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 363, 117, 649, 179. So, keep reading to learn more.
Given numbers are 363,117,649,179
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,117,649,179 is 149512077.
Find LCM of 363,117,649,179 with Prime Factorization
| 3 | 363, 117, 649, 179 |
| 11 | 121, 39, 649, 179 |
| 11, 39, 59, 179 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 11 x 39 x 59 x 179 = 149512077
Therefore, the lowest common multiple of 363,117,649,179 is 149512077.
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.
363 x 117 x 649 x 179 = 4933898541
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.
363 : 1, 3, 11, 33, 121, 363
117 : 1, 3, 9, 13, 39, 117
649 : 1, 11, 59, 649
179 : 1, 179
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,117,649,179, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
117:3x 3x 13
649:11x 59
179:179
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11 = 33
Therefore, the value for common factors is 33.
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 = 4933898541/(1x33)
LCM = 4933898541/33
LCM = 149512077
Thus, we can understand that the LCM of 363,117,649,179 is 149512077.
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FAQs on LCM of 363, 117, 649, 179
1. What is the LCM of 363, 117, 649, 179?
Answer: LCM of 363, 117, 649, 179 is 149512077.
2. How to calculate the LCM of 363, 117, 649, 179?
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 363, 117, 649, 179.
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}.