Find the LCM of 295, 627, 698, 375, 908 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 295, 627, 698, 375, 908. So, keep reading to learn more.
Given numbers are 295,627,698,375,908
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 295,627,698,375,908 is 1465348219500.
Find LCM of 295,627,698,375,908 with Prime Factorization
2 | 295, 627, 698, 375, 908 |
3 | 295, 627, 349, 375, 454 |
5 | 295, 209, 349, 125, 454 |
59, 209, 349, 25, 454 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 59 x 209 x 349 x 25 x 454 = 1465348219500
Therefore, the lowest common multiple of 295,627,698,375,908 is 1465348219500.
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.
295 x 627 x 698 x 375 x 908 = 43960446585000
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.
295 : 1, 5, 59, 295
627 : 1, 3, 11, 19, 33, 57, 209, 627
698 : 1, 2, 349, 698
375 : 1, 3, 5, 15, 25, 75, 125, 375
908 : 1, 2, 4, 227, 454, 908
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 295,627,698,375,908, is 1.
Now, the common factors can be found like this.
295:5x 59
627:3x 11x 19
698:2x 349
375:3x 5x 5x 5
908:2x 2x 227
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 5 = 30
Therefore, the value for common factors is 30.
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 = 43960446585000/(1x30)
LCM = 43960446585000/30
LCM = 1465348219500
Thus, we can understand that the LCM of 295,627,698,375,908 is 1465348219500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 295, 627, 698, 375, 908?
Answer: LCM of 295, 627, 698, 375, 908 is 1465348219500.
2. How to calculate the LCM of 295, 627, 698, 375, 908?
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 295, 627, 698, 375, 908.
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}.