LCM of 751, 253, 617, 921, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 751, 253, 617, 921, 957 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 751, 253, 617, 921, 957. So, keep reading to learn more.
Given numbers are 751,253,617,921,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 751,253,617,921,957 is 3131145508359.
Find LCM of 751,253,617,921,957 with Prime Factorization
| 3 | 751, 253, 617, 921, 957 |
| 11 | 751, 253, 617, 307, 319 |
| 751, 23, 617, 307, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 751 x 23 x 617 x 307 x 29 = 3131145508359
Therefore, the lowest common multiple of 751,253,617,921,957 is 3131145508359.
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.
751 x 253 x 617 x 921 x 957 = 103327801775847
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.
751 : 1, 751
253 : 1, 11, 23, 253
617 : 1, 617
921 : 1, 3, 307, 921
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,253,617,921,957, is 1.
Now, the common factors can be found like this.
751:751
253:11x 23
617:617
921:3x 307
957:3x 11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11 = 33
Therefore, the value for common factors is 33.
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 = 103327801775847/(1x33)
LCM = 103327801775847/33
LCM = 3131145508359
Thus, we can understand that the LCM of 751,253,617,921,957 is 3131145508359.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 751, 253, 617, 921, 957
1. What is the LCM of 751, 253, 617, 921, 957?
Answer: LCM of 751, 253, 617, 921, 957 is 3131145508359.
2. How to calculate the LCM of 751, 253, 617, 921, 957?
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 751, 253, 617, 921, 957.
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}.