LCM of 935, 320, 676, 949, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 935, 320, 676, 949, 357 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 935, 320, 676, 949, 357. So, keep reading to learn more.
Given numbers are 935,320,676,949,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,320,676,949,357 is 15503167680.
Find LCM of 935,320,676,949,357 with Prime Factorization
| 2 | 935, 320, 676, 949, 357 |
| 2 | 935, 160, 338, 949, 357 |
| 5 | 935, 80, 169, 949, 357 |
| 13 | 187, 16, 169, 949, 357 |
| 17 | 187, 16, 13, 73, 357 |
| 11, 16, 13, 73, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 17 x 11 x 16 x 13 x 73 x 21 = 15503167680
Therefore, the lowest common multiple of 935,320,676,949,357 is 15503167680.
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.
935 x 320 x 676 x 949 x 357 = 68524001145600
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.
935 : 1, 5, 11, 17, 55, 85, 187, 935
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
949 : 1, 13, 73, 949
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,320,676,949,357, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
320:2x 2x 2x 2x 2x 2x 5
676:2x 2x 13x 13
949:13x 73
357:3x 7x 17
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 5x 13x 17 = 4420
Therefore, the value for common factors is 4420.
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 = 68524001145600/(1x4420)
LCM = 68524001145600/4420
LCM = 15503167680
Thus, we can understand that the LCM of 935,320,676,949,357 is 15503167680.
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FAQs on LCM of 935, 320, 676, 949, 357
1. What is the LCM of 935, 320, 676, 949, 357?
Answer: LCM of 935, 320, 676, 949, 357 is 15503167680.
2. How to calculate the LCM of 935, 320, 676, 949, 357?
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 935, 320, 676, 949, 357.
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}.