LCM of 433, 304, 377, 456, 865
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 433, 304, 377, 456, 865 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 433, 304, 377, 456, 865. So, keep reading to learn more.
Given numbers are 433,304,377,456,865
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 433,304,377,456,865 is 128777560080.
Find LCM of 433,304,377,456,865 with Prime Factorization
| 2 | 433, 304, 377, 456, 865 |
| 2 | 433, 152, 377, 228, 865 |
| 2 | 433, 76, 377, 114, 865 |
| 19 | 433, 38, 377, 57, 865 |
| 433, 2, 377, 3, 865 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 433 x 2 x 377 x 3 x 865 = 128777560080
Therefore, the lowest common multiple of 433,304,377,456,865 is 128777560080.
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.
433 x 304 x 377 x 456 x 865 = 19574189132160
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.
433 : 1, 433
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
377 : 1, 13, 29, 377
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
865 : 1, 5, 173, 865
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,304,377,456,865, is 1.
Now, the common factors can be found like this.
433:433
304:2x 2x 2x 2x 19
377:13x 29
456:2x 2x 2x 3x 19
865:5x 173
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 19 = 152
Therefore, the value for common factors is 152.
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 = 19574189132160/(1x152)
LCM = 19574189132160/152
LCM = 128777560080
Thus, we can understand that the LCM of 433,304,377,456,865 is 128777560080.
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FAQs on LCM of 433, 304, 377, 456, 865
1. What is the LCM of 433, 304, 377, 456, 865?
Answer: LCM of 433, 304, 377, 456, 865 is 128777560080.
2. How to calculate the LCM of 433, 304, 377, 456, 865?
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 433, 304, 377, 456, 865.
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}.