LCM of 768, 656, 916, 171, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 656, 916, 171, 240 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 768, 656, 916, 171, 240. So, keep reading to learn more.
Given numbers are 768,656,916,171,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,656,916,171,240 is 2055064320.
Find LCM of 768,656,916,171,240 with Prime Factorization
| 2 | 768, 656, 916, 171, 240 |
| 2 | 384, 328, 458, 171, 120 |
| 2 | 192, 164, 229, 171, 60 |
| 2 | 96, 82, 229, 171, 30 |
| 3 | 48, 41, 229, 171, 15 |
| 16, 41, 229, 57, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 16 x 41 x 229 x 57 x 5 = 2055064320
Therefore, the lowest common multiple of 768,656,916,171,240 is 2055064320.
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.
768 x 656 x 916 x 171 x 240 = 18939472773120
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.
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
916 : 1, 2, 4, 229, 458, 916
171 : 1, 3, 9, 19, 57, 171
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,656,916,171,240, is 1.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
656:2x 2x 2x 2x 41
916:2x 2x 229
171:3x 3x 19
240:2x 2x 2x 2x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 3x 3 = 9216
Therefore, the value for common factors is 9216.
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 = 18939472773120/(1x9216)
LCM = 18939472773120/9216
LCM = 2055064320
Thus, we can understand that the LCM of 768,656,916,171,240 is 2055064320.
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FAQs on LCM of 768, 656, 916, 171, 240
1. What is the LCM of 768, 656, 916, 171, 240?
Answer: LCM of 768, 656, 916, 171, 240 is 2055064320.
2. How to calculate the LCM of 768, 656, 916, 171, 240?
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 768, 656, 916, 171, 240.
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}.