LCM of 956, 935, 420, 509, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 956, 935, 420, 509, 407 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 956, 935, 420, 509, 407. So, keep reading to learn more.
Given numbers are 956,935,420,509,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 956,935,420,509,407 is 353515372980.
Find LCM of 956,935,420,509,407 with Prime Factorization
| 2 | 956, 935, 420, 509, 407 |
| 2 | 478, 935, 210, 509, 407 |
| 5 | 239, 935, 105, 509, 407 |
| 11 | 239, 187, 21, 509, 407 |
| 239, 17, 21, 509, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 239 x 17 x 21 x 509 x 37 = 353515372980
Therefore, the lowest common multiple of 956,935,420,509,407 is 353515372980.
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.
956 x 935 x 420 x 509 x 407 = 77773382055600
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.
956 : 1, 2, 4, 239, 478, 956
935 : 1, 5, 11, 17, 55, 85, 187, 935
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
509 : 1, 509
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 956,935,420,509,407, is 1.
Now, the common factors can be found like this.
956:2x 2x 239
935:5x 11x 17
420:2x 2x 3x 5x 7
509:509
407:11x 37
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 11 = 220
Therefore, the value for common factors is 220.
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 = 77773382055600/(1x220)
LCM = 77773382055600/220
LCM = 353515372980
Thus, we can understand that the LCM of 956,935,420,509,407 is 353515372980.
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FAQs on LCM of 956, 935, 420, 509, 407
1. What is the LCM of 956, 935, 420, 509, 407?
Answer: LCM of 956, 935, 420, 509, 407 is 353515372980.
2. How to calculate the LCM of 956, 935, 420, 509, 407?
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 956, 935, 420, 509, 407.
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}.