LCM of 392, 323, 909, 707
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 392, 323, 909, 707 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 392, 323, 909, 707. So, keep reading to learn more.
Given numbers are 392,323,909,707
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 392,323,909,707 is 115093944.
Find LCM of 392,323,909,707 with Prime Factorization
| 7 | 392, 323, 909, 707 |
| 101 | 56, 323, 909, 101 |
| 56, 323, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
7 x 101 x 56 x 323 x 9 x 1 = 115093944
Therefore, the lowest common multiple of 392,323,909,707 is 115093944.
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.
392 x 323 x 909 x 707 = 81371418408
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.
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
323 : 1, 17, 19, 323
909 : 1, 3, 9, 101, 303, 909
707 : 1, 7, 101, 707
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,323,909,707, is 1.
Now, the common factors can be found like this.
392:2x 2x 2x 7x 7
323:17x 19
909:3x 3x 101
707:7x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 101 = 707
Therefore, the value for common factors is 707.
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 = 81371418408/(1x707)
LCM = 81371418408/707
LCM = 115093944
Thus, we can understand that the LCM of 392,323,909,707 is 115093944.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 392, 323, 909, 707
1. What is the LCM of 392, 323, 909, 707?
Answer: LCM of 392, 323, 909, 707 is 115093944.
2. How to calculate the LCM of 392, 323, 909, 707?
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 392, 323, 909, 707.
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}.