LCM of 640, 173, 865, 538, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 640, 173, 865, 538, 363 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 640, 173, 865, 538, 363. So, keep reading to learn more.
Given numbers are 640,173,865,538,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 640,173,865,538,363 is 10811475840.
Find LCM of 640,173,865,538,363 with Prime Factorization
| 2 | 640, 173, 865, 538, 363 |
| 5 | 320, 173, 865, 269, 363 |
| 173 | 64, 173, 173, 269, 363 |
| 64, 1, 1, 269, 363 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 173 x 64 x 1 x 1 x 269 x 363 = 10811475840
Therefore, the lowest common multiple of 640,173,865,538,363 is 10811475840.
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.
640 x 173 x 865 x 538 x 363 = 18703853203200
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.
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
173 : 1, 173
865 : 1, 5, 173, 865
538 : 1, 2, 269, 538
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 640,173,865,538,363, is 1.
Now, the common factors can be found like this.
640:2x 2x 2x 2x 2x 2x 2x 5
173:173
865:5x 173
538:2x 269
363:3x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 173 = 1730
Therefore, the value for common factors is 1730.
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 = 18703853203200/(1x1730)
LCM = 18703853203200/1730
LCM = 10811475840
Thus, we can understand that the LCM of 640,173,865,538,363 is 10811475840.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 640, 173, 865, 538, 363
1. What is the LCM of 640, 173, 865, 538, 363?
Answer: LCM of 640, 173, 865, 538, 363 is 10811475840.
2. How to calculate the LCM of 640, 173, 865, 538, 363?
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 640, 173, 865, 538, 363.
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}.