LCM of 353, 517, 705, 290
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 353, 517, 705, 290 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 353, 517, 705, 290. So, keep reading to learn more.
Given numbers are 353,517,705,290
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 353,517,705,290 is 158775870.
Find LCM of 353,517,705,290 with Prime Factorization
| 5 | 353, 517, 705, 290 |
| 47 | 353, 517, 141, 58 |
| 353, 11, 3, 58 |
Multiply the prime numbers at the bottom and the left side.
5 x 47 x 353 x 11 x 3 x 58 = 158775870
Therefore, the lowest common multiple of 353,517,705,290 is 158775870.
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.
353 x 517 x 705 x 290 = 37312329450
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.
353 : 1, 353
517 : 1, 11, 47, 517
705 : 1, 3, 5, 15, 47, 141, 235, 705
290 : 1, 2, 5, 10, 29, 58, 145, 290
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,517,705,290, is 1.
Now, the common factors can be found like this.
353:353
517:11x 47
705:3x 5x 47
290:2x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 47 = 235
Therefore, the value for common factors is 235.
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 = 37312329450/(1x235)
LCM = 37312329450/235
LCM = 158775870
Thus, we can understand that the LCM of 353,517,705,290 is 158775870.
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FAQs on LCM of 353, 517, 705, 290
1. What is the LCM of 353, 517, 705, 290?
Answer: LCM of 353, 517, 705, 290 is 158775870.
2. How to calculate the LCM of 353, 517, 705, 290?
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 353, 517, 705, 290.
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}.