Find the LCM of 535, 274, 921, 959, 835 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 535, 274, 921, 959, 835. So, keep reading to learn more.
Given numbers are 535,274,921,959,835
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,274,921,959,835 is 157825976910.
Find LCM of 535,274,921,959,835 with Prime Factorization
5 | 535, 274, 921, 959, 835 |
137 | 107, 274, 921, 959, 167 |
107, 2, 921, 7, 167 |
Multiply the prime numbers at the bottom and the left side.
5 x 137 x 107 x 2 x 921 x 7 x 167 = 157825976910
Therefore, the lowest common multiple of 535,274,921,959,835 is 157825976910.
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.
535 x 274 x 921 x 959 x 835 = 108110794183350
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.
535 : 1, 5, 107, 535
274 : 1, 2, 137, 274
921 : 1, 3, 307, 921
959 : 1, 7, 137, 959
835 : 1, 5, 167, 835
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,274,921,959,835, is 1.
Now, the common factors can be found like this.
535:5x 107
274:2x 137
921:3x 307
959:7x 137
835:5x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 137 = 685
Therefore, the value for common factors is 685.
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 = 108110794183350/(1x685)
LCM = 108110794183350/685
LCM = 157825976910
Thus, we can understand that the LCM of 535,274,921,959,835 is 157825976910.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 535, 274, 921, 959, 835?
Answer: LCM of 535, 274, 921, 959, 835 is 157825976910.
2. How to calculate the LCM of 535, 274, 921, 959, 835?
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 535, 274, 921, 959, 835.
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}.