LCM of 321, 343, 735, 697, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 321, 343, 735, 697, 765 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 321, 343, 735, 697, 765. So, keep reading to learn more.
Given numbers are 321,343,735,697,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,343,735,697,765 is 1151126865.
Find LCM of 321,343,735,697,765 with Prime Factorization
| 3 | 321, 343, 735, 697, 765 |
| 5 | 107, 343, 245, 697, 255 |
| 7 | 107, 343, 49, 697, 51 |
| 7 | 107, 7, 49, 697, 51 |
| 17 | 107, 1, 7, 697, 51 |
| 107, 1, 7, 41, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 7 x 17 x 107 x 1 x 7 x 41 x 3 = 1151126865
Therefore, the lowest common multiple of 321,343,735,697,765 is 1151126865.
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.
321 x 343 x 735 x 697 x 765 = 43149990534525
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.
321 : 1, 3, 107, 321
343 : 1, 7, 49, 343
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
697 : 1, 17, 41, 697
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,343,735,697,765, is 1.
Now, the common factors can be found like this.
321:3x 107
343:7x 7x 7
735:3x 5x 7x 7
697:17x 41
765:3x 3x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 7x 7x 17 = 37485
Therefore, the value for common factors is 37485.
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 = 43149990534525/(1x37485)
LCM = 43149990534525/37485
LCM = 1151126865
Thus, we can understand that the LCM of 321,343,735,697,765 is 1151126865.
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FAQs on LCM of 321, 343, 735, 697, 765
1. What is the LCM of 321, 343, 735, 697, 765?
Answer: LCM of 321, 343, 735, 697, 765 is 1151126865.
2. How to calculate the LCM of 321, 343, 735, 697, 765?
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 321, 343, 735, 697, 765.
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}.