Find the LCM of 937, 615, 801, 984, 353 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 937, 615, 801, 984, 353. So, keep reading to learn more.
Given numbers are 937,615,801,984,353
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 937,615,801,984,353 is 434500880040.
Find LCM of 937,615,801,984,353 with Prime Factorization
3 | 937, 615, 801, 984, 353 |
41 | 937, 205, 267, 328, 353 |
937, 5, 267, 8, 353 |
Multiply the prime numbers at the bottom and the left side.
3 x 41 x 937 x 5 x 267 x 8 x 353 = 434500880040
Therefore, the lowest common multiple of 937,615,801,984,353 is 434500880040.
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.
937 x 615 x 801 x 984 x 353 = 160330824734760
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.
937 : 1, 937
615 : 1, 3, 5, 15, 41, 123, 205, 615
801 : 1, 3, 9, 89, 267, 801
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
353 : 1, 353
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 937,615,801,984,353, is 1.
Now, the common factors can be found like this.
937:937
615:3x 5x 41
801:3x 3x 89
984:2x 2x 2x 3x 41
353:353
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 41 = 369
Therefore, the value for common factors is 369.
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 = 160330824734760/(1x369)
LCM = 160330824734760/369
LCM = 434500880040
Thus, we can understand that the LCM of 937,615,801,984,353 is 434500880040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 937, 615, 801, 984, 353?
Answer: LCM of 937, 615, 801, 984, 353 is 434500880040.
2. How to calculate the LCM of 937, 615, 801, 984, 353?
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 937, 615, 801, 984, 353.
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}.