LCM of 751, 985, 927, 630, 751
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 751, 985, 927, 630, 751 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 751, 985, 927, 630, 751. So, keep reading to learn more.
Given numbers are 751,985,927,630,751
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 751,985,927,630,751 is 9600280830.
Find LCM of 751,985,927,630,751 with Prime Factorization
| 3 | 751, 985, 927, 630, 751 |
| 3 | 751, 985, 309, 210, 751 |
| 5 | 751, 985, 103, 70, 751 |
| 751 | 751, 197, 103, 14, 751 |
| 1, 197, 103, 14, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 751 x 1 x 197 x 103 x 14 x 1 = 9600280830
Therefore, the lowest common multiple of 751,985,927,630,751 is 9600280830.
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.
751 x 985 x 927 x 630 x 751 = 324441490649850
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.
751 : 1, 751
985 : 1, 5, 197, 985
927 : 1, 3, 9, 103, 309, 927
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
751 : 1, 751
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,985,927,630,751, is 1.
Now, the common factors can be found like this.
751:751
985:5x 197
927:3x 3x 103
630:2x 3x 3x 5x 7
751:751
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 751 = 33795
Therefore, the value for common factors is 33795.
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 = 324441490649850/(1x33795)
LCM = 324441490649850/33795
LCM = 9600280830
Thus, we can understand that the LCM of 751,985,927,630,751 is 9600280830.
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FAQs on LCM of 751, 985, 927, 630, 751
1. What is the LCM of 751, 985, 927, 630, 751?
Answer: LCM of 751, 985, 927, 630, 751 is 9600280830.
2. How to calculate the LCM of 751, 985, 927, 630, 751?
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 751, 985, 927, 630, 751.
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}.