LCM of 538, 501, 744, 961, 435
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 538, 501, 744, 961, 435 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 538, 501, 744, 961, 435. So, keep reading to learn more.
Given numbers are 538,501,744,961,435
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,501,744,961,435 is 150235090440.
Find LCM of 538,501,744,961,435 with Prime Factorization
| 2 | 538, 501, 744, 961, 435 |
| 3 | 269, 501, 372, 961, 435 |
| 31 | 269, 167, 124, 961, 145 |
| 269, 167, 4, 31, 145 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 269 x 167 x 4 x 31 x 145 = 150235090440
Therefore, the lowest common multiple of 538,501,744,961,435 is 150235090440.
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.
538 x 501 x 744 x 961 x 435 = 83831180465520
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.
538 : 1, 2, 269, 538
501 : 1, 3, 167, 501
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
961 : 1, 31, 961
435 : 1, 3, 5, 15, 29, 87, 145, 435
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,501,744,961,435, is 1.
Now, the common factors can be found like this.
538:2x 269
501:3x 167
744:2x 2x 2x 3x 31
961:31x 31
435:3x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 31 = 558
Therefore, the value for common factors is 558.
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 = 83831180465520/(1x558)
LCM = 83831180465520/558
LCM = 150235090440
Thus, we can understand that the LCM of 538,501,744,961,435 is 150235090440.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 538, 501, 744, 961, 435
1. What is the LCM of 538, 501, 744, 961, 435?
Answer: LCM of 538, 501, 744, 961, 435 is 150235090440.
2. How to calculate the LCM of 538, 501, 744, 961, 435?
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 538, 501, 744, 961, 435.
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}.