LCM of 137, 737, 253, 379
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 137, 737, 253, 379 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 137, 737, 253, 379. So, keep reading to learn more.
Given numbers are 137,737,253,379
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 137,737,253,379 is 880146773.
Find LCM of 137,737,253,379 with Prime Factorization
| 11 | 137, 737, 253, 379 |
| 137, 67, 23, 379 |
Multiply the prime numbers at the bottom and the left side.
11 x 137 x 67 x 23 x 379 = 880146773
Therefore, the lowest common multiple of 137,737,253,379 is 880146773.
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.
137 x 737 x 253 x 379 = 9681614503
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.
137 : 1, 137
737 : 1, 11, 67, 737
253 : 1, 11, 23, 253
379 : 1, 379
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,737,253,379, is 1.
Now, the common factors can be found like this.
137:137
737:11x 67
253:11x 23
379:379
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 9681614503/(1x11)
LCM = 9681614503/11
LCM = 880146773
Thus, we can understand that the LCM of 137,737,253,379 is 880146773.
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FAQs on LCM of 137, 737, 253, 379
1. What is the LCM of 137, 737, 253, 379?
Answer: LCM of 137, 737, 253, 379 is 880146773.
2. How to calculate the LCM of 137, 737, 253, 379?
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 137, 737, 253, 379.
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}.