LCM of 354, 920, 472, 486, 115
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 354, 920, 472, 486, 115 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 354, 920, 472, 486, 115. So, keep reading to learn more.
Given numbers are 354,920,472,486,115
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 354,920,472,486,115 is 13190040.
Find LCM of 354,920,472,486,115 with Prime Factorization
| 2 | 354, 920, 472, 486, 115 |
| 2 | 177, 460, 236, 243, 115 |
| 2 | 177, 230, 118, 243, 115 |
| 3 | 177, 115, 59, 243, 115 |
| 5 | 59, 115, 59, 81, 115 |
| 23 | 59, 23, 59, 81, 23 |
| 59 | 59, 1, 59, 81, 1 |
| 1, 1, 1, 81, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 23 x 59 x 1 x 1 x 1 x 81 x 1 = 13190040
Therefore, the lowest common multiple of 354,920,472,486,115 is 13190040.
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.
354 x 920 x 472 x 486 x 115 = 8591464454400
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.
354 : 1, 2, 3, 6, 59, 118, 177, 354
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
472 : 1, 2, 4, 8, 59, 118, 236, 472
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
115 : 1, 5, 23, 115
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,920,472,486,115, is 1.
Now, the common factors can be found like this.
354:2x 3x 59
920:2x 2x 2x 5x 23
472:2x 2x 2x 59
486:2x 3x 3x 3x 3x 3
115:5x 23
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 2x 3x 5x 23x 59 = 651360
Therefore, the value for common factors is 651360.
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 = 8591464454400/(1x651360)
LCM = 8591464454400/651360
LCM = 13190040
Thus, we can understand that the LCM of 354,920,472,486,115 is 13190040.
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FAQs on LCM of 354, 920, 472, 486, 115
1. What is the LCM of 354, 920, 472, 486, 115?
Answer: LCM of 354, 920, 472, 486, 115 is 13190040.
2. How to calculate the LCM of 354, 920, 472, 486, 115?
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 354, 920, 472, 486, 115.
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}.