LCM of 635, 757, 208, 721, 780
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 635, 757, 208, 721, 780 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 635, 757, 208, 721, 780. So, keep reading to learn more.
Given numbers are 635,757,208,721,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,757,208,721,780 is 216266603280.
Find LCM of 635,757,208,721,780 with Prime Factorization
| 2 | 635, 757, 208, 721, 780 |
| 2 | 635, 757, 104, 721, 390 |
| 5 | 635, 757, 52, 721, 195 |
| 13 | 127, 757, 52, 721, 39 |
| 127, 757, 4, 721, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 127 x 757 x 4 x 721 x 3 = 216266603280
Therefore, the lowest common multiple of 635,757,208,721,780 is 216266603280.
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.
635 x 757 x 208 x 721 x 780 = 56229316852800
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.
635 : 1, 5, 127, 635
757 : 1, 757
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
721 : 1, 7, 103, 721
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,757,208,721,780, is 1.
Now, the common factors can be found like this.
635:5x 127
757:757
208:2x 2x 2x 2x 13
721:7x 103
780:2x 2x 3x 5x 13
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 13 = 260
Therefore, the value for common factors is 260.
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 = 56229316852800/(1x260)
LCM = 56229316852800/260
LCM = 216266603280
Thus, we can understand that the LCM of 635,757,208,721,780 is 216266603280.
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FAQs on LCM of 635, 757, 208, 721, 780
1. What is the LCM of 635, 757, 208, 721, 780?
Answer: LCM of 635, 757, 208, 721, 780 is 216266603280.
2. How to calculate the LCM of 635, 757, 208, 721, 780?
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 635, 757, 208, 721, 780.
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}.