Find the LCM of 853, 240, 122, 363, 626 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 853, 240, 122, 363, 626. So, keep reading to learn more.
Given numbers are 853,240,122,363,626
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 853,240,122,363,626 is 472954994160.
Find LCM of 853,240,122,363,626 with Prime Factorization
2 | 853, 240, 122, 363, 626 |
3 | 853, 120, 61, 363, 313 |
853, 40, 61, 121, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 853 x 40 x 61 x 121 x 313 = 472954994160
Therefore, the lowest common multiple of 853,240,122,363,626 is 472954994160.
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.
853 x 240 x 122 x 363 x 626 = 5675459929920
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.
853 : 1, 853
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
122 : 1, 2, 61, 122
363 : 1, 3, 11, 33, 121, 363
626 : 1, 2, 313, 626
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,240,122,363,626, is 1.
Now, the common factors can be found like this.
853:853
240:2x 2x 2x 2x 3x 5
122:2x 61
363:3x 11x 11
626:2x 313
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 3 = 12
Therefore, the value for common factors is 12.
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 = 5675459929920/(1x12)
LCM = 5675459929920/12
LCM = 472954994160
Thus, we can understand that the LCM of 853,240,122,363,626 is 472954994160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 853, 240, 122, 363, 626?
Answer: LCM of 853, 240, 122, 363, 626 is 472954994160.
2. How to calculate the LCM of 853, 240, 122, 363, 626?
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 853, 240, 122, 363, 626.
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}.