LCM of 754, 502, 817, 702, 192
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 754, 502, 817, 702, 192 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 754, 502, 817, 702, 192. So, keep reading to learn more.
Given numbers are 754,502,817,702,192
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,502,817,702,192 is 133592127552.
Find LCM of 754,502,817,702,192 with Prime Factorization
| 2 | 754, 502, 817, 702, 192 |
| 3 | 377, 251, 817, 351, 96 |
| 13 | 377, 251, 817, 117, 32 |
| 29, 251, 817, 9, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 29 x 251 x 817 x 9 x 32 = 133592127552
Therefore, the lowest common multiple of 754,502,817,702,192 is 133592127552.
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.
754 x 502 x 817 x 702 x 192 = 41680743796224
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.
754 : 1, 2, 13, 26, 29, 58, 377, 754
502 : 1, 2, 251, 502
817 : 1, 19, 43, 817
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,502,817,702,192, is 1.
Now, the common factors can be found like this.
754:2x 13x 29
502:2x 251
817:19x 43
702:2x 3x 3x 3x 13
192:2x 2x 2x 2x 2x 2x 3
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 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 41680743796224/(1x312)
LCM = 41680743796224/312
LCM = 133592127552
Thus, we can understand that the LCM of 754,502,817,702,192 is 133592127552.
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FAQs on LCM of 754, 502, 817, 702, 192
1. What is the LCM of 754, 502, 817, 702, 192?
Answer: LCM of 754, 502, 817, 702, 192 is 133592127552.
2. How to calculate the LCM of 754, 502, 817, 702, 192?
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 754, 502, 817, 702, 192.
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}.