LCM of 555, 185, 865, 296
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 555, 185, 865, 296 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 555, 185, 865, 296. So, keep reading to learn more.
Given numbers are 555,185,865,296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 555,185,865,296 is 768120.
Find LCM of 555,185,865,296 with Prime Factorization
| 5 | 555, 185, 865, 296 |
| 37 | 111, 37, 173, 296 |
| 3, 1, 173, 8 |
Multiply the prime numbers at the bottom and the left side.
5 x 37 x 3 x 1 x 173 x 8 = 768120
Therefore, the lowest common multiple of 555,185,865,296 is 768120.
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.
555 x 185 x 865 x 296 = 26288907000
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.
555 : 1, 3, 5, 15, 37, 111, 185, 555
185 : 1, 5, 37, 185
865 : 1, 5, 173, 865
296 : 1, 2, 4, 8, 37, 74, 148, 296
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 555,185,865,296, is 1.
Now, the common factors can be found like this.
555:3x 5x 37
185:5x 37
865:5x 173
296:2x 2x 2x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 37x 37 = 34225
Therefore, the value for common factors is 34225.
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 = 26288907000/(1x34225)
LCM = 26288907000/34225
LCM = 768120
Thus, we can understand that the LCM of 555,185,865,296 is 768120.
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FAQs on LCM of 555, 185, 865, 296
1. What is the LCM of 555, 185, 865, 296?
Answer: LCM of 555, 185, 865, 296 is 768120.
2. How to calculate the LCM of 555, 185, 865, 296?
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 555, 185, 865, 296.
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}.