LCM of 741, 649, 637, 239
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 649, 637, 239 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 741, 649, 637, 239. So, keep reading to learn more.
Given numbers are 741,649,637,239
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,649,637,239 is 5631925299.
Find LCM of 741,649,637,239 with Prime Factorization
| 13 | 741, 649, 637, 239 |
| 57, 649, 49, 239 |
Multiply the prime numbers at the bottom and the left side.
13 x 57 x 649 x 49 x 239 = 5631925299
Therefore, the lowest common multiple of 741,649,637,239 is 5631925299.
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.
741 x 649 x 637 x 239 = 73215028887
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
649 : 1, 11, 59, 649
637 : 1, 7, 13, 49, 91, 637
239 : 1, 239
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,649,637,239, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
649:11x 59
637:7x 7x 13
239:239
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 73215028887/(1x13)
LCM = 73215028887/13
LCM = 5631925299
Thus, we can understand that the LCM of 741,649,637,239 is 5631925299.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 741, 649, 637, 239
1. What is the LCM of 741, 649, 637, 239?
Answer: LCM of 741, 649, 637, 239 is 5631925299.
2. How to calculate the LCM of 741, 649, 637, 239?
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 741, 649, 637, 239.
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}.