LCM of 343, 638, 638, 920, 358
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 343, 638, 638, 920, 358 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 343, 638, 638, 920, 358. So, keep reading to learn more.
Given numbers are 343,638,638,920,358
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,638,638,920,358 is 18018791560.
Find LCM of 343,638,638,920,358 with Prime Factorization
| 2 | 343, 638, 638, 920, 358 |
| 11 | 343, 319, 319, 460, 179 |
| 29 | 343, 29, 29, 460, 179 |
| 343, 1, 1, 460, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 29 x 343 x 1 x 1 x 460 x 179 = 18018791560
Therefore, the lowest common multiple of 343,638,638,920,358 is 18018791560.
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.
343 x 638 x 638 x 920 x 358 = 45983956061120
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.
343 : 1, 7, 49, 343
638 : 1, 2, 11, 22, 29, 58, 319, 638
638 : 1, 2, 11, 22, 29, 58, 319, 638
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
358 : 1, 2, 179, 358
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,638,638,920,358, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
638:2x 11x 29
638:2x 11x 29
920:2x 2x 2x 5x 23
358:2x 179
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 11x 29 = 2552
Therefore, the value for common factors is 2552.
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 = 45983956061120/(1x2552)
LCM = 45983956061120/2552
LCM = 18018791560
Thus, we can understand that the LCM of 343,638,638,920,358 is 18018791560.
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FAQs on LCM of 343, 638, 638, 920, 358
1. What is the LCM of 343, 638, 638, 920, 358?
Answer: LCM of 343, 638, 638, 920, 358 is 18018791560.
2. How to calculate the LCM of 343, 638, 638, 920, 358?
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 343, 638, 638, 920, 358.
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}.