LCM of 321, 957, 506, 853
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 321, 957, 506, 853 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 321, 957, 506, 853. So, keep reading to learn more.
Given numbers are 321,957,506,853
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,957,506,853 is 4017931962.
Find LCM of 321,957,506,853 with Prime Factorization
| 3 | 321, 957, 506, 853 |
| 11 | 107, 319, 506, 853 |
| 107, 29, 46, 853 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 107 x 29 x 46 x 853 = 4017931962
Therefore, the lowest common multiple of 321,957,506,853 is 4017931962.
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.
321 x 957 x 506 x 853 = 132591754746
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.
321 : 1, 3, 107, 321
957 : 1, 3, 11, 29, 33, 87, 319, 957
506 : 1, 2, 11, 22, 23, 46, 253, 506
853 : 1, 853
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,957,506,853, is 1.
Now, the common factors can be found like this.
321:3x 107
957:3x 11x 29
506:2x 11x 23
853:853
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11 = 33
Therefore, the value for common factors is 33.
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 = 132591754746/(1x33)
LCM = 132591754746/33
LCM = 4017931962
Thus, we can understand that the LCM of 321,957,506,853 is 4017931962.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 321, 957, 506, 853
1. What is the LCM of 321, 957, 506, 853?
Answer: LCM of 321, 957, 506, 853 is 4017931962.
2. How to calculate the LCM of 321, 957, 506, 853?
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 321, 957, 506, 853.
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}.