LCM of 279, 516, 946, 279, 327
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 279, 516, 946, 279, 327 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 279, 516, 946, 279, 327. So, keep reading to learn more.
Given numbers are 279,516,946,279,327
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,516,946,279,327 is 57537612.
Find LCM of 279,516,946,279,327 with Prime Factorization
| 2 | 279, 516, 946, 279, 327 |
| 3 | 279, 258, 473, 279, 327 |
| 3 | 93, 86, 473, 93, 109 |
| 31 | 31, 86, 473, 31, 109 |
| 43 | 1, 86, 473, 1, 109 |
| 1, 2, 11, 1, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 31 x 43 x 1 x 2 x 11 x 1 x 109 = 57537612
Therefore, the lowest common multiple of 279,516,946,279,327 is 57537612.
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.
279 x 516 x 946 x 279 x 327 = 12425017160952
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.
279 : 1, 3, 9, 31, 93, 279
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
946 : 1, 2, 11, 22, 43, 86, 473, 946
279 : 1, 3, 9, 31, 93, 279
327 : 1, 3, 109, 327
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,516,946,279,327, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
516:2x 2x 3x 43
946:2x 11x 43
279:3x 3x 31
327:3x 109
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 3x 3x 3x 31x 43 = 215946
Therefore, the value for common factors is 215946.
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 = 12425017160952/(1x215946)
LCM = 12425017160952/215946
LCM = 57537612
Thus, we can understand that the LCM of 279,516,946,279,327 is 57537612.
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FAQs on LCM of 279, 516, 946, 279, 327
1. What is the LCM of 279, 516, 946, 279, 327?
Answer: LCM of 279, 516, 946, 279, 327 is 57537612.
2. How to calculate the LCM of 279, 516, 946, 279, 327?
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 279, 516, 946, 279, 327.
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}.