Find the LCM of 893, 692, 427, 565, 122 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, 692, 427, 565, 122. So, keep reading to learn more.
Given numbers are 893,692,427,565,122
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,692,427,565,122 is 149084974780.
Find LCM of 893,692,427,565,122 with Prime Factorization
2 | 893, 692, 427, 565, 122 |
61 | 893, 346, 427, 565, 61 |
893, 346, 7, 565, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 61 x 893 x 346 x 7 x 565 x 1 = 149084974780
Therefore, the lowest common multiple of 893,692,427,565,122 is 149084974780.
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 692 x 427 x 565 x 122 = 18188366923160
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
692 : 1, 2, 4, 173, 346, 692
427 : 1, 7, 61, 427
565 : 1, 5, 113, 565
122 : 1, 2, 61, 122
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,692,427,565,122, is 1.
Now, the common factors can be found like this.
893:19x 47
692:2x 2x 173
427:7x 61
565:5x 113
122:2x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 61 = 122
Therefore, the value for common factors is 122.
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 = 18188366923160/(1x122)
LCM = 18188366923160/122
LCM = 149084974780
Thus, we can understand that the LCM of 893,692,427,565,122 is 149084974780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 893, 692, 427, 565, 122?
Answer: LCM of 893, 692, 427, 565, 122 is 149084974780.
2. How to calculate the LCM of 893, 692, 427, 565, 122?
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, 692, 427, 565, 122.
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}.