LCM of 760, 872, 173, 918, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 760, 872, 173, 918, 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 760, 872, 173, 918, 969. So, keep reading to learn more.
Given numbers are 760,872,173,918,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,872,173,918,969 is 6578075880.
Find LCM of 760,872,173,918,969 with Prime Factorization
| 2 | 760, 872, 173, 918, 969 |
| 2 | 380, 436, 173, 459, 969 |
| 2 | 190, 218, 173, 459, 969 |
| 3 | 95, 109, 173, 459, 969 |
| 17 | 95, 109, 173, 153, 323 |
| 19 | 95, 109, 173, 9, 19 |
| 5, 109, 173, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 19 x 5 x 109 x 173 x 9 x 1 = 6578075880
Therefore, the lowest common multiple of 760,872,173,918,969 is 6578075880.
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.
760 x 872 x 173 x 918 x 969 = 101986488443520
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.
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
872 : 1, 2, 4, 8, 109, 218, 436, 872
173 : 1, 173
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
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 760,872,173,918,969, is 1.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
872:2x 2x 2x 109
173:173
918:2x 3x 3x 3x 17
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 2x 2x 2x 3x 17x 19 = 15504
Therefore, the value for common factors is 15504.
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 = 101986488443520/(1x15504)
LCM = 101986488443520/15504
LCM = 6578075880
Thus, we can understand that the LCM of 760,872,173,918,969 is 6578075880.
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FAQs on LCM of 760, 872, 173, 918, 969
1. What is the LCM of 760, 872, 173, 918, 969?
Answer: LCM of 760, 872, 173, 918, 969 is 6578075880.
2. How to calculate the LCM of 760, 872, 173, 918, 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 760, 872, 173, 918, 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}.