LCM of 342, 923, 781, 220
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 342, 923, 781, 220 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 342, 923, 781, 220. So, keep reading to learn more.
Given numbers are 342,923,781,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 342,923,781,220 is 34723260.
Find LCM of 342,923,781,220 with Prime Factorization
| 2 | 342, 923, 781, 220 |
| 11 | 171, 923, 781, 110 |
| 71 | 171, 923, 71, 10 |
| 171, 13, 1, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 71 x 171 x 13 x 1 x 10 = 34723260
Therefore, the lowest common multiple of 342,923,781,220 is 34723260.
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.
342 x 923 x 781 x 220 = 54237732120
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.
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
923 : 1, 13, 71, 923
781 : 1, 11, 71, 781
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,923,781,220, is 1.
Now, the common factors can be found like this.
342:2x 3x 3x 19
923:13x 71
781:11x 71
220:2x 2x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 71 = 1562
Therefore, the value for common factors is 1562.
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 = 54237732120/(1x1562)
LCM = 54237732120/1562
LCM = 34723260
Thus, we can understand that the LCM of 342,923,781,220 is 34723260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 342, 923, 781, 220
1. What is the LCM of 342, 923, 781, 220?
Answer: LCM of 342, 923, 781, 220 is 34723260.
2. How to calculate the LCM of 342, 923, 781, 220?
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 342, 923, 781, 220.
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}.