Find the LCM of 298, 941, 861, 149, 622 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 298, 941, 861, 149, 622. So, keep reading to learn more.
Given numbers are 298,941,861,149,622
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,941,861,149,622 is 75087808278.
Find LCM of 298,941,861,149,622 with Prime Factorization
2 | 298, 941, 861, 149, 622 |
149 | 149, 941, 861, 149, 311 |
1, 941, 861, 1, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 149 x 1 x 941 x 861 x 1 x 311 = 75087808278
Therefore, the lowest common multiple of 298,941,861,149,622 is 75087808278.
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.
298 x 941 x 861 x 149 x 622 = 22376166866844
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.
298 : 1, 2, 149, 298
941 : 1, 941
861 : 1, 3, 7, 21, 41, 123, 287, 861
149 : 1, 149
622 : 1, 2, 311, 622
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,941,861,149,622, is 1.
Now, the common factors can be found like this.
298:2x 149
941:941
861:3x 7x 41
149:149
622:2x 311
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 149 = 298
Therefore, the value for common factors is 298.
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 = 22376166866844/(1x298)
LCM = 22376166866844/298
LCM = 75087808278
Thus, we can understand that the LCM of 298,941,861,149,622 is 75087808278.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 298, 941, 861, 149, 622?
Answer: LCM of 298, 941, 861, 149, 622 is 75087808278.
2. How to calculate the LCM of 298, 941, 861, 149, 622?
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 298, 941, 861, 149, 622.
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}.