LCM of 676, 520, 857, 414, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 520, 857, 414, 735 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 676, 520, 857, 414, 735. So, keep reading to learn more.
Given numbers are 676,520,857,414,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,520,857,414,735 is 58761644760.
Find LCM of 676,520,857,414,735 with Prime Factorization
| 2 | 676, 520, 857, 414, 735 |
| 2 | 338, 260, 857, 207, 735 |
| 3 | 169, 130, 857, 207, 735 |
| 5 | 169, 130, 857, 69, 245 |
| 13 | 169, 26, 857, 69, 49 |
| 13, 2, 857, 69, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 13 x 2 x 857 x 69 x 49 = 58761644760
Therefore, the lowest common multiple of 676,520,857,414,735 is 58761644760.
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.
676 x 520 x 857 x 414 x 735 = 91668165825600
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
857 : 1, 857
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,520,857,414,735, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
520:2x 2x 2x 5x 13
857:857
414:2x 3x 3x 23
735:3x 5x 7x 7
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 3x 5x 13 = 1560
Therefore, the value for common factors is 1560.
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 = 91668165825600/(1x1560)
LCM = 91668165825600/1560
LCM = 58761644760
Thus, we can understand that the LCM of 676,520,857,414,735 is 58761644760.
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FAQs on LCM of 676, 520, 857, 414, 735
1. What is the LCM of 676, 520, 857, 414, 735?
Answer: LCM of 676, 520, 857, 414, 735 is 58761644760.
2. How to calculate the LCM of 676, 520, 857, 414, 735?
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 676, 520, 857, 414, 735.
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}.