LCM of 634, 542, 508, 629
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 634, 542, 508, 629 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 634, 542, 508, 629. So, keep reading to learn more.
Given numbers are 634,542,508,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 634,542,508,629 is 27450035524.
Find LCM of 634,542,508,629 with Prime Factorization
| 2 | 634, 542, 508, 629 |
| 317, 271, 254, 629 |
Multiply the prime numbers at the bottom and the left side.
2 x 317 x 271 x 254 x 629 = 27450035524
Therefore, the lowest common multiple of 634,542,508,629 is 27450035524.
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.
634 x 542 x 508 x 629 = 109800142096
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.
634 : 1, 2, 317, 634
542 : 1, 2, 271, 542
508 : 1, 2, 4, 127, 254, 508
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,542,508,629, is 1.
Now, the common factors can be found like this.
634:2x 317
542:2x 271
508:2x 2x 127
629:17x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 109800142096/(1x4)
LCM = 109800142096/4
LCM = 27450035524
Thus, we can understand that the LCM of 634,542,508,629 is 27450035524.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 634, 542, 508, 629
1. What is the LCM of 634, 542, 508, 629?
Answer: LCM of 634, 542, 508, 629 is 27450035524.
2. How to calculate the LCM of 634, 542, 508, 629?
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 634, 542, 508, 629.
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}.