LCM of 771, 892, 631, 327, 109
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 771, 892, 631, 327, 109 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 771, 892, 631, 327, 109. So, keep reading to learn more.
Given numbers are 771,892,631,327,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 771,892,631,327,109 is 47301519228.
Find LCM of 771,892,631,327,109 with Prime Factorization
| 3 | 771, 892, 631, 327, 109 |
| 109 | 257, 892, 631, 109, 109 |
| 257, 892, 631, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 109 x 257 x 892 x 631 x 1 x 1 = 47301519228
Therefore, the lowest common multiple of 771,892,631,327,109 is 47301519228.
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.
771 x 892 x 631 x 327 x 109 = 15467596787556
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.
771 : 1, 3, 257, 771
892 : 1, 2, 4, 223, 446, 892
631 : 1, 631
327 : 1, 3, 109, 327
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,892,631,327,109, is 1.
Now, the common factors can be found like this.
771:3x 257
892:2x 2x 223
631:631
327:3x 109
109:109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 109 = 327
Therefore, the value for common factors is 327.
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 = 15467596787556/(1x327)
LCM = 15467596787556/327
LCM = 47301519228
Thus, we can understand that the LCM of 771,892,631,327,109 is 47301519228.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 771, 892, 631, 327, 109
1. What is the LCM of 771, 892, 631, 327, 109?
Answer: LCM of 771, 892, 631, 327, 109 is 47301519228.
2. How to calculate the LCM of 771, 892, 631, 327, 109?
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 771, 892, 631, 327, 109.
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}.