LCM of 765, 377, 663, 853
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 765, 377, 663, 853 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, 377, 663, 853. So, keep reading to learn more.
Given numbers are 765,377,663,853
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,377,663,853 is 246009465.
Find LCM of 765,377,663,853 with Prime Factorization
| 3 | 765, 377, 663, 853 |
| 13 | 255, 377, 221, 853 |
| 17 | 255, 29, 17, 853 |
| 15, 29, 1, 853 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 17 x 15 x 29 x 1 x 853 = 246009465
Therefore, the lowest common multiple of 765,377,663,853 is 246009465.
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 377 x 663 x 853 = 163104275295
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
377 : 1, 13, 29, 377
663 : 1, 3, 13, 17, 39, 51, 221, 663
853 : 1, 853
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,377,663,853, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
377:13x 29
663:3x 13x 17
853:853
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 17 = 663
Therefore, the value for common factors is 663.
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 = 163104275295/(1x663)
LCM = 163104275295/663
LCM = 246009465
Thus, we can understand that the LCM of 765,377,663,853 is 246009465.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 765, 377, 663, 853
1. What is the LCM of 765, 377, 663, 853?
Answer: LCM of 765, 377, 663, 853 is 246009465.
2. How to calculate the LCM of 765, 377, 663, 853?
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, 377, 663, 853.
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}.