LCM of 377, 724, 413, 428, 649
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 377, 724, 413, 428, 649 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 377, 724, 413, 428, 649. So, keep reading to learn more.
Given numbers are 377,724,413,428,649
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,724,413,428,649 is 132680295748.
Find LCM of 377,724,413,428,649 with Prime Factorization
| 2 | 377, 724, 413, 428, 649 |
| 2 | 377, 362, 413, 214, 649 |
| 59 | 377, 181, 413, 107, 649 |
| 377, 181, 7, 107, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 59 x 377 x 181 x 7 x 107 x 11 = 132680295748
Therefore, the lowest common multiple of 377,724,413,428,649 is 132680295748.
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.
377 x 724 x 413 x 428 x 649 = 31312549796528
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.
377 : 1, 13, 29, 377
724 : 1, 2, 4, 181, 362, 724
413 : 1, 7, 59, 413
428 : 1, 2, 4, 107, 214, 428
649 : 1, 11, 59, 649
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,724,413,428,649, is 1.
Now, the common factors can be found like this.
377:13x 29
724:2x 2x 181
413:7x 59
428:2x 2x 107
649:11x 59
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 59 = 236
Therefore, the value for common factors is 236.
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 = 31312549796528/(1x236)
LCM = 31312549796528/236
LCM = 132680295748
Thus, we can understand that the LCM of 377,724,413,428,649 is 132680295748.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 377, 724, 413, 428, 649
1. What is the LCM of 377, 724, 413, 428, 649?
Answer: LCM of 377, 724, 413, 428, 649 is 132680295748.
2. How to calculate the LCM of 377, 724, 413, 428, 649?
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 377, 724, 413, 428, 649.
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}.