LCM of 930, 741, 423, 420, 517
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 930, 741, 423, 420, 517 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 930, 741, 423, 420, 517. So, keep reading to learn more.
Given numbers are 930,741,423,420,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 930,741,423,420,517 is 4987922940.
Find LCM of 930,741,423,420,517 with Prime Factorization
| 2 | 930, 741, 423, 420, 517 |
| 3 | 465, 741, 423, 210, 517 |
| 5 | 155, 247, 141, 70, 517 |
| 47 | 31, 247, 141, 14, 517 |
| 31, 247, 3, 14, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 47 x 31 x 247 x 3 x 14 x 11 = 4987922940
Therefore, the lowest common multiple of 930,741,423,420,517 is 4987922940.
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.
930 x 741 x 423 x 420 x 517 = 63296742108600
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.
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
741 : 1, 3, 13, 19, 39, 57, 247, 741
423 : 1, 3, 9, 47, 141, 423
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
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,741,423,420,517, is 1.
Now, the common factors can be found like this.
930:2x 3x 5x 31
741:3x 13x 19
423:3x 3x 47
420:2x 2x 3x 5x 7
517:11x 47
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 3x 3x 5x 47 = 12690
Therefore, the value for common factors is 12690.
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 = 63296742108600/(1x12690)
LCM = 63296742108600/12690
LCM = 4987922940
Thus, we can understand that the LCM of 930,741,423,420,517 is 4987922940.
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FAQs on LCM of 930, 741, 423, 420, 517
1. What is the LCM of 930, 741, 423, 420, 517?
Answer: LCM of 930, 741, 423, 420, 517 is 4987922940.
2. How to calculate the LCM of 930, 741, 423, 420, 517?
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 930, 741, 423, 420, 517.
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}.