Find the LCM of 797, 126, 314, 991, 630 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 797, 126, 314, 991, 630. So, keep reading to learn more.
Given numbers are 797,126,314,991,630
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 797,126,314,991,630 is 78121788570.
Find LCM of 797,126,314,991,630 with Prime Factorization
2 | 797, 126, 314, 991, 630 |
3 | 797, 63, 157, 991, 315 |
3 | 797, 21, 157, 991, 105 |
7 | 797, 7, 157, 991, 35 |
797, 1, 157, 991, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 797 x 1 x 157 x 991 x 5 = 78121788570
Therefore, the lowest common multiple of 797,126,314,991,630 is 78121788570.
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.
797 x 126 x 314 x 991 x 630 = 19686690719640
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.
797 : 1, 797
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
314 : 1, 2, 157, 314
991 : 1, 991
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,126,314,991,630, is 1.
Now, the common factors can be found like this.
797:797
126:2x 3x 3x 7
314:2x 157
991:991
630:2x 3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 19686690719640/(1x252)
LCM = 19686690719640/252
LCM = 78121788570
Thus, we can understand that the LCM of 797,126,314,991,630 is 78121788570.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 797, 126, 314, 991, 630?
Answer: LCM of 797, 126, 314, 991, 630 is 78121788570.
2. How to calculate the LCM of 797, 126, 314, 991, 630?
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 797, 126, 314, 991, 630.
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}.