LCM of 501, 797, 558, 753, 977
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 501, 797, 558, 753, 977 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 501, 797, 558, 753, 977. So, keep reading to learn more.
Given numbers are 501,797,558,753,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 501,797,558,753,977 is 18212823407934.
Find LCM of 501,797,558,753,977 with Prime Factorization
| 3 | 501, 797, 558, 753, 977 |
| 167, 797, 186, 251, 977 |
Multiply the prime numbers at the bottom and the left side.
3 x 167 x 797 x 186 x 251 x 977 = 18212823407934
Therefore, the lowest common multiple of 501,797,558,753,977 is 18212823407934.
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.
501 x 797 x 558 x 753 x 977 = 163915410671406
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.
501 : 1, 3, 167, 501
797 : 1, 797
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
753 : 1, 3, 251, 753
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,797,558,753,977, is 1.
Now, the common factors can be found like this.
501:3x 167
797:797
558:2x 3x 3x 31
753:3x 251
977:977
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 163915410671406/(1x9)
LCM = 163915410671406/9
LCM = 18212823407934
Thus, we can understand that the LCM of 501,797,558,753,977 is 18212823407934.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 501, 797, 558, 753, 977
1. What is the LCM of 501, 797, 558, 753, 977?
Answer: LCM of 501, 797, 558, 753, 977 is 18212823407934.
2. How to calculate the LCM of 501, 797, 558, 753, 977?
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 501, 797, 558, 753, 977.
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}.