LCM of 393, 682, 533, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 393, 682, 533, 946 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 393, 682, 533, 946. So, keep reading to learn more.
Given numbers are 393,682,533,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 393,682,533,946 is 6142887894.
Find LCM of 393,682,533,946 with Prime Factorization
| 2 | 393, 682, 533, 946 |
| 11 | 393, 341, 533, 473 |
| 393, 31, 533, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 393 x 31 x 533 x 43 = 6142887894
Therefore, the lowest common multiple of 393,682,533,946 is 6142887894.
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.
393 x 682 x 533 x 946 = 135143533668
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.
393 : 1, 3, 131, 393
682 : 1, 2, 11, 22, 31, 62, 341, 682
533 : 1, 13, 41, 533
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,682,533,946, is 1.
Now, the common factors can be found like this.
393:3x 131
682:2x 11x 31
533:13x 41
946:2x 11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 135143533668/(1x22)
LCM = 135143533668/22
LCM = 6142887894
Thus, we can understand that the LCM of 393,682,533,946 is 6142887894.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 393, 682, 533, 946
1. What is the LCM of 393, 682, 533, 946?
Answer: LCM of 393, 682, 533, 946 is 6142887894.
2. How to calculate the LCM of 393, 682, 533, 946?
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 393, 682, 533, 946.
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}.