LCM of 559, 951, 634, 438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 559, 951, 634, 438 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 559, 951, 634, 438. So, keep reading to learn more.
Given numbers are 559,951,634,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 559,951,634,438 is 77614914.
Find LCM of 559,951,634,438 with Prime Factorization
| 2 | 559, 951, 634, 438 |
| 3 | 559, 951, 317, 219 |
| 317 | 559, 317, 317, 73 |
| 559, 1, 1, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 317 x 559 x 1 x 1 x 73 = 77614914
Therefore, the lowest common multiple of 559,951,634,438 is 77614914.
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.
559 x 951 x 634 x 438 = 147623566428
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.
559 : 1, 13, 43, 559
951 : 1, 3, 317, 951
634 : 1, 2, 317, 634
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,951,634,438, is 1.
Now, the common factors can be found like this.
559:13x 43
951:3x 317
634:2x 317
438:2x 3x 73
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 317 = 1902
Therefore, the value for common factors is 1902.
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 = 147623566428/(1x1902)
LCM = 147623566428/1902
LCM = 77614914
Thus, we can understand that the LCM of 559,951,634,438 is 77614914.
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FAQs on LCM of 559, 951, 634, 438
1. What is the LCM of 559, 951, 634, 438?
Answer: LCM of 559, 951, 634, 438 is 77614914.
2. How to calculate the LCM of 559, 951, 634, 438?
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 559, 951, 634, 438.
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}.