LCM of 512, 889, 173, 692
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 512, 889, 173, 692 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 512, 889, 173, 692. So, keep reading to learn more.
Given numbers are 512,889,173,692
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,889,173,692 is 78744064.
Find LCM of 512,889,173,692 with Prime Factorization
| 2 | 512, 889, 173, 692 |
| 2 | 256, 889, 173, 346 |
| 173 | 128, 889, 173, 173 |
| 128, 889, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 173 x 128 x 889 x 1 x 1 = 78744064
Therefore, the lowest common multiple of 512,889,173,692 is 78744064.
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.
512 x 889 x 173 x 692 = 54490892288
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.
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
889 : 1, 7, 127, 889
173 : 1, 173
692 : 1, 2, 4, 173, 346, 692
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,889,173,692, is 1.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
889:7x 127
173:173
692:2x 2x 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 173 = 692
Therefore, the value for common factors is 692.
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 = 54490892288/(1x692)
LCM = 54490892288/692
LCM = 78744064
Thus, we can understand that the LCM of 512,889,173,692 is 78744064.
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FAQs on LCM of 512, 889, 173, 692
1. What is the LCM of 512, 889, 173, 692?
Answer: LCM of 512, 889, 173, 692 is 78744064.
2. How to calculate the LCM of 512, 889, 173, 692?
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 512, 889, 173, 692.
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}.