LCM of 923, 516, 901, 778, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 516, 901, 778, 969 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 923, 516, 901, 778, 969. So, keep reading to learn more.
Given numbers are 923,516,901,778,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,516,901,778,969 is 3171607205988.
Find LCM of 923,516,901,778,969 with Prime Factorization
| 2 | 923, 516, 901, 778, 969 |
| 3 | 923, 258, 901, 389, 969 |
| 17 | 923, 86, 901, 389, 323 |
| 923, 86, 53, 389, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 923 x 86 x 53 x 389 x 19 = 3171607205988
Therefore, the lowest common multiple of 923,516,901,778,969 is 3171607205988.
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.
923 x 516 x 901 x 778 x 969 = 323503935010776
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.
923 : 1, 13, 71, 923
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
901 : 1, 17, 53, 901
778 : 1, 2, 389, 778
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,516,901,778,969, is 1.
Now, the common factors can be found like this.
923:13x 71
516:2x 2x 3x 43
901:17x 53
778:2x 389
969:3x 17x 19
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 17 = 102
Therefore, the value for common factors is 102.
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 = 323503935010776/(1x102)
LCM = 323503935010776/102
LCM = 3171607205988
Thus, we can understand that the LCM of 923,516,901,778,969 is 3171607205988.
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FAQs on LCM of 923, 516, 901, 778, 969
1. What is the LCM of 923, 516, 901, 778, 969?
Answer: LCM of 923, 516, 901, 778, 969 is 3171607205988.
2. How to calculate the LCM of 923, 516, 901, 778, 969?
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 923, 516, 901, 778, 969.
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}.