LCM of 162, 771, 342, 781, 491
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 162, 771, 342, 781, 491 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 162, 771, 342, 781, 491. So, keep reading to learn more.
Given numbers are 162,771,342,781,491
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 162,771,342,781,491 is 303343200666.
Find LCM of 162,771,342,781,491 with Prime Factorization
| 2 | 162, 771, 342, 781, 491 |
| 3 | 81, 771, 171, 781, 491 |
| 3 | 27, 257, 57, 781, 491 |
| 9, 257, 19, 781, 491 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 9 x 257 x 19 x 781 x 491 = 303343200666
Therefore, the lowest common multiple of 162,771,342,781,491 is 303343200666.
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.
162 x 771 x 342 x 781 x 491 = 16380532835964
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.
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
771 : 1, 3, 257, 771
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
781 : 1, 11, 71, 781
491 : 1, 491
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,771,342,781,491, is 1.
Now, the common factors can be found like this.
162:2x 3x 3x 3x 3
771:3x 257
342:2x 3x 3x 19
781:11x 71
491:491
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 16380532835964/(1x54)
LCM = 16380532835964/54
LCM = 303343200666
Thus, we can understand that the LCM of 162,771,342,781,491 is 303343200666.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 162, 771, 342, 781, 491
1. What is the LCM of 162, 771, 342, 781, 491?
Answer: LCM of 162, 771, 342, 781, 491 is 303343200666.
2. How to calculate the LCM of 162, 771, 342, 781, 491?
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 162, 771, 342, 781, 491.
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}.