LCM of 354, 943, 943, 472, 465
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 354, 943, 943, 472, 465 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, 943, 943, 472, 465. So, keep reading to learn more.
Given numbers are 354,943,943,472,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 354,943,943,472,465 is 206969640.
Find LCM of 354,943,943,472,465 with Prime Factorization
| 2 | 354, 943, 943, 472, 465 |
| 3 | 177, 943, 943, 236, 465 |
| 23 | 59, 943, 943, 236, 155 |
| 41 | 59, 41, 41, 236, 155 |
| 59 | 59, 1, 1, 236, 155 |
| 1, 1, 1, 4, 155 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 41 x 59 x 1 x 1 x 1 x 4 x 155 = 206969640
Therefore, the lowest common multiple of 354,943,943,472,465 is 206969640.
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 943 x 943 x 472 x 465 = 69091019164080
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
943 : 1, 23, 41, 943
943 : 1, 23, 41, 943
472 : 1, 2, 4, 8, 59, 118, 236, 472
465 : 1, 3, 5, 15, 31, 93, 155, 465
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,943,943,472,465, is 1.
Now, the common factors can be found like this.
354:2x 3x 59
943:23x 41
943:23x 41
472:2x 2x 2x 59
465:3x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 23x 41x 59 = 333822
Therefore, the value for common factors is 333822.
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 = 69091019164080/(1x333822)
LCM = 69091019164080/333822
LCM = 206969640
Thus, we can understand that the LCM of 354,943,943,472,465 is 206969640.
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FAQs on LCM of 354, 943, 943, 472, 465
1. What is the LCM of 354, 943, 943, 472, 465?
Answer: LCM of 354, 943, 943, 472, 465 is 206969640.
2. How to calculate the LCM of 354, 943, 943, 472, 465?
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, 943, 943, 472, 465.
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}.