Find the LCM of 835, 357, 420, 893, 722 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 835, 357, 420, 893, 722. So, keep reading to learn more.
Given numbers are 835,357,420,893,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 835,357,420,893,722 is 20231111460.
Find LCM of 835,357,420,893,722 with Prime Factorization
2 | 835, 357, 420, 893, 722 |
3 | 835, 357, 210, 893, 361 |
5 | 835, 119, 70, 893, 361 |
7 | 167, 119, 14, 893, 361 |
19 | 167, 17, 2, 893, 361 |
167, 17, 2, 47, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 19 x 167 x 17 x 2 x 47 x 19 = 20231111460
Therefore, the lowest common multiple of 835,357,420,893,722 is 20231111460.
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.
835 x 357 x 420 x 893 x 722 = 80722134725400
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.
835 : 1, 5, 167, 835
357 : 1, 3, 7, 17, 21, 51, 119, 357
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
893 : 1, 19, 47, 893
722 : 1, 2, 19, 38, 361, 722
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,357,420,893,722, is 1.
Now, the common factors can be found like this.
835:5x 167
357:3x 7x 17
420:2x 2x 3x 5x 7
893:19x 47
722:2x 19x 19
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 5x 7x 19 = 3990
Therefore, the value for common factors is 3990.
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 = 80722134725400/(1x3990)
LCM = 80722134725400/3990
LCM = 20231111460
Thus, we can understand that the LCM of 835,357,420,893,722 is 20231111460.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 835, 357, 420, 893, 722?
Answer: LCM of 835, 357, 420, 893, 722 is 20231111460.
2. How to calculate the LCM of 835, 357, 420, 893, 722?
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 835, 357, 420, 893, 722.
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}.