LCM of 617, 579, 501, 788
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 617, 579, 501, 788 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 617, 579, 501, 788. So, keep reading to learn more.
Given numbers are 617,579,501,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 617,579,501,788 is 47011749828.
Find LCM of 617,579,501,788 with Prime Factorization
| 3 | 617, 579, 501, 788 |
| 617, 193, 167, 788 |
Multiply the prime numbers at the bottom and the left side.
3 x 617 x 193 x 167 x 788 = 47011749828
Therefore, the lowest common multiple of 617,579,501,788 is 47011749828.
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.
617 x 579 x 501 x 788 = 141035249484
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.
617 : 1, 617
579 : 1, 3, 193, 579
501 : 1, 3, 167, 501
788 : 1, 2, 4, 197, 394, 788
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,579,501,788, is 1.
Now, the common factors can be found like this.
617:617
579:3x 193
501:3x 167
788:2x 2x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 141035249484/(1x3)
LCM = 141035249484/3
LCM = 47011749828
Thus, we can understand that the LCM of 617,579,501,788 is 47011749828.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 617, 579, 501, 788
1. What is the LCM of 617, 579, 501, 788?
Answer: LCM of 617, 579, 501, 788 is 47011749828.
2. How to calculate the LCM of 617, 579, 501, 788?
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 617, 579, 501, 788.
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}.