LCM of 205, 735, 955, 765, 359
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 205, 735, 955, 765, 359 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 205, 735, 955, 765, 359. So, keep reading to learn more.
Given numbers are 205,735,955,765,359
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 205,735,955,765,359 is 105382667565.
Find LCM of 205,735,955,765,359 with Prime Factorization
| 3 | 205, 735, 955, 765, 359 |
| 5 | 205, 245, 955, 255, 359 |
| 41, 49, 191, 51, 359 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 41 x 49 x 191 x 51 x 359 = 105382667565
Therefore, the lowest common multiple of 205,735,955,765,359 is 105382667565.
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.
205 x 735 x 955 x 765 x 359 = 39518500336875
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.
205 : 1, 5, 41, 205
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
955 : 1, 5, 191, 955
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
359 : 1, 359
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,735,955,765,359, is 1.
Now, the common factors can be found like this.
205:5x 41
735:3x 5x 7x 7
955:5x 191
765:3x 3x 5x 17
359:359
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 5 = 375
Therefore, the value for common factors is 375.
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 = 39518500336875/(1x375)
LCM = 39518500336875/375
LCM = 105382667565
Thus, we can understand that the LCM of 205,735,955,765,359 is 105382667565.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 205, 735, 955, 765, 359
1. What is the LCM of 205, 735, 955, 765, 359?
Answer: LCM of 205, 735, 955, 765, 359 is 105382667565.
2. How to calculate the LCM of 205, 735, 955, 765, 359?
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 205, 735, 955, 765, 359.
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}.