LCM of 117, 312, 252, 637, 991
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 117, 312, 252, 637, 991 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 117, 312, 252, 637, 991. So, keep reading to learn more.
Given numbers are 117,312,252,637,991
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 117,312,252,637,991 is 45451224.
Find LCM of 117,312,252,637,991 with Prime Factorization
| 2 | 117, 312, 252, 637, 991 |
| 2 | 117, 156, 126, 637, 991 |
| 3 | 117, 78, 63, 637, 991 |
| 3 | 39, 26, 21, 637, 991 |
| 7 | 13, 26, 7, 637, 991 |
| 13 | 13, 26, 1, 91, 991 |
| 1, 2, 1, 7, 991 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 13 x 1 x 2 x 1 x 7 x 991 = 45451224
Therefore, the lowest common multiple of 117,312,252,637,991 is 45451224.
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.
117 x 312 x 252 x 637 x 991 = 5807030183136
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.
117 : 1, 3, 9, 13, 39, 117
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
637 : 1, 7, 13, 49, 91, 637
991 : 1, 991
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,312,252,637,991, is 1.
Now, the common factors can be found like this.
117:3x 3x 13
312:2x 2x 2x 3x 13
252:2x 2x 3x 3x 7
637:7x 7x 13
991:991
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 3x 7x 13x 13 = 127764
Therefore, the value for common factors is 127764.
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 = 5807030183136/(1x127764)
LCM = 5807030183136/127764
LCM = 45451224
Thus, we can understand that the LCM of 117,312,252,637,991 is 45451224.
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FAQs on LCM of 117, 312, 252, 637, 991
1. What is the LCM of 117, 312, 252, 637, 991?
Answer: LCM of 117, 312, 252, 637, 991 is 45451224.
2. How to calculate the LCM of 117, 312, 252, 637, 991?
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 117, 312, 252, 637, 991.
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}.