LCM of 752, 218, 253, 394, 737
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 752, 218, 253, 394, 737 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 752, 218, 253, 394, 737. So, keep reading to learn more.
Given numbers are 752,218,253,394,737
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 752,218,253,394,737 is 273719594896.
Find LCM of 752,218,253,394,737 with Prime Factorization
| 2 | 752, 218, 253, 394, 737 |
| 11 | 376, 109, 253, 197, 737 |
| 376, 109, 23, 197, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 376 x 109 x 23 x 197 x 67 = 273719594896
Therefore, the lowest common multiple of 752,218,253,394,737 is 273719594896.
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.
752 x 218 x 253 x 394 x 737 = 12043662175424
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.
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
218 : 1, 2, 109, 218
253 : 1, 11, 23, 253
394 : 1, 2, 197, 394
737 : 1, 11, 67, 737
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,218,253,394,737, is 1.
Now, the common factors can be found like this.
752:2x 2x 2x 2x 47
218:2x 109
253:11x 23
394:2x 197
737:11x 67
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 11 = 44
Therefore, the value for common factors is 44.
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 = 12043662175424/(1x44)
LCM = 12043662175424/44
LCM = 273719594896
Thus, we can understand that the LCM of 752,218,253,394,737 is 273719594896.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 752, 218, 253, 394, 737
1. What is the LCM of 752, 218, 253, 394, 737?
Answer: LCM of 752, 218, 253, 394, 737 is 273719594896.
2. How to calculate the LCM of 752, 218, 253, 394, 737?
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 752, 218, 253, 394, 737.
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}.