LCM of 174, 881, 971, 738, 927
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 174, 881, 971, 738, 927 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 174, 881, 971, 738, 927. So, keep reading to learn more.
Given numbers are 174,881,971,738,927
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 174,881,971,738,927 is 1885761317106.
Find LCM of 174,881,971,738,927 with Prime Factorization
| 2 | 174, 881, 971, 738, 927 |
| 3 | 87, 881, 971, 369, 927 |
| 3 | 29, 881, 971, 123, 309 |
| 29, 881, 971, 41, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 29 x 881 x 971 x 41 x 103 = 1885761317106
Therefore, the lowest common multiple of 174,881,971,738,927 is 1885761317106.
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.
174 x 881 x 971 x 738 x 927 = 101831111123724
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.
174 : 1, 2, 3, 6, 29, 58, 87, 174
881 : 1, 881
971 : 1, 971
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
927 : 1, 3, 9, 103, 309, 927
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,881,971,738,927, is 1.
Now, the common factors can be found like this.
174:2x 3x 29
881:881
971:971
738:2x 3x 3x 41
927:3x 3x 103
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 = 101831111123724/(1x54)
LCM = 101831111123724/54
LCM = 1885761317106
Thus, we can understand that the LCM of 174,881,971,738,927 is 1885761317106.
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FAQs on LCM of 174, 881, 971, 738, 927
1. What is the LCM of 174, 881, 971, 738, 927?
Answer: LCM of 174, 881, 971, 738, 927 is 1885761317106.
2. How to calculate the LCM of 174, 881, 971, 738, 927?
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 174, 881, 971, 738, 927.
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}.