LCM of 697, 595, 403, 242, 780
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 595, 403, 242, 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 697, 595, 403, 242, 780. So, keep reading to learn more.
Given numbers are 697,595,403,242,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,595,403,242,780 is 14274880620.
Find LCM of 697,595,403,242,780 with Prime Factorization
| 2 | 697, 595, 403, 242, 780 |
| 5 | 697, 595, 403, 121, 390 |
| 13 | 697, 119, 403, 121, 78 |
| 17 | 697, 119, 31, 121, 6 |
| 41, 7, 31, 121, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 17 x 41 x 7 x 31 x 121 x 6 = 14274880620
Therefore, the lowest common multiple of 697,595,403,242,780 is 14274880620.
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.
697 x 595 x 403 x 242 x 780 = 31547486170200
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.
697 : 1, 17, 41, 697
595 : 1, 5, 7, 17, 35, 85, 119, 595
403 : 1, 13, 31, 403
242 : 1, 2, 11, 22, 121, 242
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 697,595,403,242,780, is 1.
Now, the common factors can be found like this.
697:17x 41
595:5x 7x 17
403:13x 31
242:2x 11x 11
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 5x 13x 17 = 2210
Therefore, the value for common factors is 2210.
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 = 31547486170200/(1x2210)
LCM = 31547486170200/2210
LCM = 14274880620
Thus, we can understand that the LCM of 697,595,403,242,780 is 14274880620.
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FAQs on LCM of 697, 595, 403, 242, 780
1. What is the LCM of 697, 595, 403, 242, 780?
Answer: LCM of 697, 595, 403, 242, 780 is 14274880620.
2. How to calculate the LCM of 697, 595, 403, 242, 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 697, 595, 403, 242, 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}.