LCM of 394, 649, 895, 420, 438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 394, 649, 895, 420, 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 394, 649, 895, 420, 438. So, keep reading to learn more.
Given numbers are 394,649,895,420,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 394,649,895,420,438 is 701675163420.
Find LCM of 394,649,895,420,438 with Prime Factorization
| 2 | 394, 649, 895, 420, 438 |
| 3 | 197, 649, 895, 210, 219 |
| 5 | 197, 649, 895, 70, 73 |
| 197, 649, 179, 14, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 197 x 649 x 179 x 14 x 73 = 701675163420
Therefore, the lowest common multiple of 394,649,895,420,438 is 701675163420.
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.
394 x 649 x 895 x 420 x 438 = 42100509805200
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.
394 : 1, 2, 197, 394
649 : 1, 11, 59, 649
895 : 1, 5, 179, 895
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
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 394,649,895,420,438, is 1.
Now, the common factors can be found like this.
394:2x 197
649:11x 59
895:5x 179
420:2x 2x 3x 5x 7
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 2x 3x 5 = 60
Therefore, the value for common factors is 60.
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 = 42100509805200/(1x60)
LCM = 42100509805200/60
LCM = 701675163420
Thus, we can understand that the LCM of 394,649,895,420,438 is 701675163420.
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FAQs on LCM of 394, 649, 895, 420, 438
1. What is the LCM of 394, 649, 895, 420, 438?
Answer: LCM of 394, 649, 895, 420, 438 is 701675163420.
2. How to calculate the LCM of 394, 649, 895, 420, 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 394, 649, 895, 420, 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}.