LCM of 637, 713, 465, 805, 830
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 637, 713, 465, 805, 830 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 637, 713, 465, 805, 830. So, keep reading to learn more.
Given numbers are 637,713,465,805,830
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 637,713,465,805,830 is 1130910690.
Find LCM of 637,713,465,805,830 with Prime Factorization
| 5 | 637, 713, 465, 805, 830 |
| 7 | 637, 713, 93, 161, 166 |
| 23 | 91, 713, 93, 23, 166 |
| 31 | 91, 31, 93, 1, 166 |
| 91, 1, 3, 1, 166 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 23 x 31 x 91 x 1 x 3 x 1 x 166 = 1130910690
Therefore, the lowest common multiple of 637,713,465,805,830 is 1130910690.
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.
637 x 713 x 465 x 805 x 830 = 141109381344750
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.
637 : 1, 7, 13, 49, 91, 637
713 : 1, 23, 31, 713
465 : 1, 3, 5, 15, 31, 93, 155, 465
805 : 1, 5, 7, 23, 35, 115, 161, 805
830 : 1, 2, 5, 10, 83, 166, 415, 830
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,713,465,805,830, is 1.
Now, the common factors can be found like this.
637:7x 7x 13
713:23x 31
465:3x 5x 31
805:5x 7x 23
830:2x 5x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 7x 23x 31 = 124775
Therefore, the value for common factors is 124775.
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 = 141109381344750/(1x124775)
LCM = 141109381344750/124775
LCM = 1130910690
Thus, we can understand that the LCM of 637,713,465,805,830 is 1130910690.
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FAQs on LCM of 637, 713, 465, 805, 830
1. What is the LCM of 637, 713, 465, 805, 830?
Answer: LCM of 637, 713, 465, 805, 830 is 1130910690.
2. How to calculate the LCM of 637, 713, 465, 805, 830?
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 637, 713, 465, 805, 830.
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}.