Find the LCM of 253, 735, 504, 121, 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 253, 735, 504, 121, 835. So, keep reading to learn more.
Given numbers are 253,735,504,121,835
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,735,504,121,835 is 8198384040.
Find LCM of 253,735,504,121,835 with Prime Factorization
3 | 253, 735, 504, 121, 835 |
5 | 253, 245, 168, 121, 835 |
7 | 253, 49, 168, 121, 167 |
11 | 253, 7, 24, 121, 167 |
23, 7, 24, 11, 167 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 11 x 23 x 7 x 24 x 11 x 167 = 8198384040
Therefore, the lowest common multiple of 253,735,504,121,835 is 8198384040.
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.
253 x 735 x 504 x 121 x 835 = 9469133566200
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.
253 : 1, 11, 23, 253
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
121 : 1, 11, 121
835 : 1, 5, 167, 835
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,735,504,121,835, is 1.
Now, the common factors can be found like this.
253:11x 23
735:3x 5x 7x 7
504:2x 2x 2x 3x 3x 7
121:11x 11
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.
3x 5x 7x 11 = 1155
Therefore, the value for common factors is 1155.
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 = 9469133566200/(1x1155)
LCM = 9469133566200/1155
LCM = 8198384040
Thus, we can understand that the LCM of 253,735,504,121,835 is 8198384040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 253, 735, 504, 121, 835?
Answer: LCM of 253, 735, 504, 121, 835 is 8198384040.
2. How to calculate the LCM of 253, 735, 504, 121, 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 253, 735, 504, 121, 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}.