LCM of 765, 282, 376, 155, 961
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 765, 282, 376, 155, 961 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, 282, 376, 155, 961. So, keep reading to learn more.
Given numbers are 765,282,376,155,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,282,376,155,961 is 276422040.
Find LCM of 765,282,376,155,961 with Prime Factorization
| 2 | 765, 282, 376, 155, 961 |
| 3 | 765, 141, 188, 155, 961 |
| 5 | 255, 47, 188, 155, 961 |
| 31 | 51, 47, 188, 31, 961 |
| 47 | 51, 47, 188, 1, 31 |
| 51, 1, 4, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 31 x 47 x 51 x 1 x 4 x 1 x 31 = 276422040
Therefore, the lowest common multiple of 765,282,376,155,961 is 276422040.
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 282 x 376 x 155 x 961 = 12082407368400
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
282 : 1, 2, 3, 6, 47, 94, 141, 282
376 : 1, 2, 4, 8, 47, 94, 188, 376
155 : 1, 5, 31, 155
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,282,376,155,961, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
282:2x 3x 47
376:2x 2x 2x 47
155:5x 31
961:31x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 31x 47 = 43710
Therefore, the value for common factors is 43710.
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 = 12082407368400/(1x43710)
LCM = 12082407368400/43710
LCM = 276422040
Thus, we can understand that the LCM of 765,282,376,155,961 is 276422040.
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FAQs on LCM of 765, 282, 376, 155, 961
1. What is the LCM of 765, 282, 376, 155, 961?
Answer: LCM of 765, 282, 376, 155, 961 is 276422040.
2. How to calculate the LCM of 765, 282, 376, 155, 961?
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, 282, 376, 155, 961.
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}.