LCM of 179, 884, 748, 358, 338
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 179, 884, 748, 358, 338 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 179, 884, 748, 358, 338. So, keep reading to learn more.
Given numbers are 179,884,748,358,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 179,884,748,358,338 is 22627748.
Find LCM of 179,884,748,358,338 with Prime Factorization
| 2 | 179, 884, 748, 358, 338 |
| 2 | 179, 442, 374, 179, 169 |
| 13 | 179, 221, 187, 179, 169 |
| 17 | 179, 17, 187, 179, 13 |
| 179 | 179, 1, 11, 179, 13 |
| 1, 1, 11, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 17 x 179 x 1 x 1 x 11 x 1 x 13 = 22627748
Therefore, the lowest common multiple of 179,884,748,358,338 is 22627748.
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.
179 x 884 x 748 x 358 x 338 = 14322097330112
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.
179 : 1, 179
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
358 : 1, 2, 179, 358
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 179,884,748,358,338, is 1.
Now, the common factors can be found like this.
179:179
884:2x 2x 13x 17
748:2x 2x 11x 17
358:2x 179
338:2x 13x 13
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 13x 17x 179 = 632944
Therefore, the value for common factors is 632944.
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 = 14322097330112/(1x632944)
LCM = 14322097330112/632944
LCM = 22627748
Thus, we can understand that the LCM of 179,884,748,358,338 is 22627748.
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FAQs on LCM of 179, 884, 748, 358, 338
1. What is the LCM of 179, 884, 748, 358, 338?
Answer: LCM of 179, 884, 748, 358, 338 is 22627748.
2. How to calculate the LCM of 179, 884, 748, 358, 338?
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 179, 884, 748, 358, 338.
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}.