LCM of 413, 733, 753, 177, 638
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 413, 733, 753, 177, 638 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 413, 733, 753, 177, 638. So, keep reading to learn more.
Given numbers are 413,733,753,177,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 413,733,753,177,638 is 145435249806.
Find LCM of 413,733,753,177,638 with Prime Factorization
| 3 | 413, 733, 753, 177, 638 |
| 59 | 413, 733, 251, 59, 638 |
| 7, 733, 251, 1, 638 |
Multiply the prime numbers at the bottom and the left side.
3 x 59 x 7 x 733 x 251 x 1 x 638 = 145435249806
Therefore, the lowest common multiple of 413,733,753,177,638 is 145435249806.
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.
413 x 733 x 753 x 177 x 638 = 25742039215662
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.
413 : 1, 7, 59, 413
733 : 1, 733
753 : 1, 3, 251, 753
177 : 1, 3, 59, 177
638 : 1, 2, 11, 22, 29, 58, 319, 638
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,733,753,177,638, is 1.
Now, the common factors can be found like this.
413:7x 59
733:733
753:3x 251
177:3x 59
638:2x 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 59 = 177
Therefore, the value for common factors is 177.
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 = 25742039215662/(1x177)
LCM = 25742039215662/177
LCM = 145435249806
Thus, we can understand that the LCM of 413,733,753,177,638 is 145435249806.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 413, 733, 753, 177, 638
1. What is the LCM of 413, 733, 753, 177, 638?
Answer: LCM of 413, 733, 753, 177, 638 is 145435249806.
2. How to calculate the LCM of 413, 733, 753, 177, 638?
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 413, 733, 753, 177, 638.
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}.