Find the LCM of 893, 901, 106, 565 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 893, 901, 106, 565. So, keep reading to learn more.
Given numbers are 893,901,106,565
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,901,106,565 is 909190090.
Find LCM of 893,901,106,565 with Prime Factorization
53 | 893, 901, 106, 565 |
893, 17, 2, 565 |
Multiply the prime numbers at the bottom and the left side.
53 x 893 x 17 x 2 x 565 = 909190090
Therefore, the lowest common multiple of 893,901,106,565 is 909190090.
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.
893 x 901 x 106 x 565 = 48187074770
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.
893 : 1, 19, 47, 893
901 : 1, 17, 53, 901
106 : 1, 2, 53, 106
565 : 1, 5, 113, 565
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,901,106,565, is 1.
Now, the common factors can be found like this.
893:19x 47
901:17x 53
106:2x 53
565:5x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
53 = 53
Therefore, the value for common factors is 53.
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 = 48187074770/(1x53)
LCM = 48187074770/53
LCM = 909190090
Thus, we can understand that the LCM of 893,901,106,565 is 909190090.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 893, 901, 106, 565?
Answer: LCM of 893, 901, 106, 565 is 909190090.
2. How to calculate the LCM of 893, 901, 106, 565?
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 893, 901, 106, 565.
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}.