LCM of 953, 507, 917, 693, 126
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 953, 507, 917, 693, 126 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 953, 507, 917, 693, 126. So, keep reading to learn more.
Given numbers are 953,507,917,693,126
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 953,507,917,693,126 is 29242475262.
Find LCM of 953,507,917,693,126 with Prime Factorization
| 3 | 953, 507, 917, 693, 126 |
| 3 | 953, 169, 917, 231, 42 |
| 7 | 953, 169, 917, 77, 14 |
| 953, 169, 131, 11, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 953 x 169 x 131 x 11 x 2 = 29242475262
Therefore, the lowest common multiple of 953,507,917,693,126 is 29242475262.
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.
953 x 507 x 917 x 693 x 126 = 38687794771626
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.
953 : 1, 953
507 : 1, 3, 13, 39, 169, 507
917 : 1, 7, 131, 917
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 953,507,917,693,126, is 1.
Now, the common factors can be found like this.
953:953
507:3x 13x 13
917:7x 131
693:3x 3x 7x 11
126:2x 3x 3x 7
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 3x 7x 7 = 1323
Therefore, the value for common factors is 1323.
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 = 38687794771626/(1x1323)
LCM = 38687794771626/1323
LCM = 29242475262
Thus, we can understand that the LCM of 953,507,917,693,126 is 29242475262.
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FAQs on LCM of 953, 507, 917, 693, 126
1. What is the LCM of 953, 507, 917, 693, 126?
Answer: LCM of 953, 507, 917, 693, 126 is 29242475262.
2. How to calculate the LCM of 953, 507, 917, 693, 126?
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 953, 507, 917, 693, 126.
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}.