Find the LCM of 826, 364, 478, 980, 892 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 826, 364, 478, 980, 892. So, keep reading to learn more.
Given numbers are 826,364,478,980,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 826,364,478,980,892 is 40061223020.
Find LCM of 826,364,478,980,892 with Prime Factorization
2 | 826, 364, 478, 980, 892 |
2 | 413, 182, 239, 490, 446 |
7 | 413, 91, 239, 245, 223 |
59, 13, 239, 35, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 59 x 13 x 239 x 35 x 223 = 40061223020
Therefore, the lowest common multiple of 826,364,478,980,892 is 40061223020.
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.
826 x 364 x 478 x 980 x 892 = 125631995390720
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.
826 : 1, 2, 7, 14, 59, 118, 413, 826
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
478 : 1, 2, 239, 478
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
892 : 1, 2, 4, 223, 446, 892
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,364,478,980,892, is 2.
Now, the common factors can be found like this.
826:2x 7x 59
364:2x 2x 7x 13
478:2x 239
980:2x 2x 5x 7x 7
892:2x 2x 223
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 7x 7 = 1568
Therefore, the value for common factors is 1568.
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 = 125631995390720/(2x1568)
LCM = 125631995390720/3136
LCM = 40061223020
Thus, we can understand that the LCM of 826,364,478,980,892 is 40061223020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 826, 364, 478, 980, 892?
Answer: LCM of 826, 364, 478, 980, 892 is 40061223020.
2. How to calculate the LCM of 826, 364, 478, 980, 892?
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 826, 364, 478, 980, 892.
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}.