LCM of 765, 177, 445, 333, 979
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 765, 177, 445, 333, 979 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, 177, 445, 333, 979. So, keep reading to learn more.
Given numbers are 765,177,445,333,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,177,445,333,979 is 1634925105.
Find LCM of 765,177,445,333,979 with Prime Factorization
| 3 | 765, 177, 445, 333, 979 |
| 3 | 255, 59, 445, 111, 979 |
| 5 | 85, 59, 445, 37, 979 |
| 89 | 17, 59, 89, 37, 979 |
| 17, 59, 1, 37, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 89 x 17 x 59 x 1 x 37 x 11 = 1634925105
Therefore, the lowest common multiple of 765,177,445,333,979 is 1634925105.
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 177 x 445 x 333 x 979 = 19643625136575
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
177 : 1, 3, 59, 177
445 : 1, 5, 89, 445
333 : 1, 3, 9, 37, 111, 333
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,177,445,333,979, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
177:3x 59
445:5x 89
333:3x 3x 37
979:11x 89
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 3x 5x 89 = 12015
Therefore, the value for common factors is 12015.
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 = 19643625136575/(1x12015)
LCM = 19643625136575/12015
LCM = 1634925105
Thus, we can understand that the LCM of 765,177,445,333,979 is 1634925105.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 765, 177, 445, 333, 979
1. What is the LCM of 765, 177, 445, 333, 979?
Answer: LCM of 765, 177, 445, 333, 979 is 1634925105.
2. How to calculate the LCM of 765, 177, 445, 333, 979?
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, 177, 445, 333, 979.
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}.