LCM of 765, 465, 403, 110
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 765, 465, 403, 110 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 765, 465, 403, 110. So, keep reading to learn more.
Given numbers are 765,465,403,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,465,403,110 is 6782490.
Find LCM of 765,465,403,110 with Prime Factorization
| 3 | 765, 465, 403, 110 |
| 5 | 255, 155, 403, 110 |
| 31 | 51, 31, 403, 22 |
| 51, 1, 13, 22 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 31 x 51 x 1 x 13 x 22 = 6782490
Therefore, the lowest common multiple of 765,465,403,110 is 6782490.
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.
765 x 465 x 403 x 110 = 15769289250
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.
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
465 : 1, 3, 5, 15, 31, 93, 155, 465
403 : 1, 13, 31, 403
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,465,403,110, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
465:3x 5x 31
403:13x 31
110:2x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 31 = 2325
Therefore, the value for common factors is 2325.
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 = 15769289250/(1x2325)
LCM = 15769289250/2325
LCM = 6782490
Thus, we can understand that the LCM of 765,465,403,110 is 6782490.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 765, 465, 403, 110
1. What is the LCM of 765, 465, 403, 110?
Answer: LCM of 765, 465, 403, 110 is 6782490.
2. How to calculate the LCM of 765, 465, 403, 110?
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 765, 465, 403, 110.
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}.