LCM of 796, 956, 511, 584, 239
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 796, 956, 511, 584, 239 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 796, 956, 511, 584, 239. So, keep reading to learn more.
Given numbers are 796,956,511,584,239
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 796,956,511,584,239 is 194429368.
Find LCM of 796,956,511,584,239 with Prime Factorization
| 2 | 796, 956, 511, 584, 239 |
| 2 | 398, 478, 511, 292, 239 |
| 73 | 199, 239, 511, 146, 239 |
| 239 | 199, 239, 7, 2, 239 |
| 199, 1, 7, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 73 x 239 x 199 x 1 x 7 x 2 x 1 = 194429368
Therefore, the lowest common multiple of 796,956,511,584,239 is 194429368.
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.
796 x 956 x 511 x 584 x 239 = 54275346935936
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.
796 : 1, 2, 4, 199, 398, 796
956 : 1, 2, 4, 239, 478, 956
511 : 1, 7, 73, 511
584 : 1, 2, 4, 8, 73, 146, 292, 584
239 : 1, 239
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,956,511,584,239, is 1.
Now, the common factors can be found like this.
796:2x 2x 199
956:2x 2x 239
511:7x 73
584:2x 2x 2x 73
239:239
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 73x 239 = 279152
Therefore, the value for common factors is 279152.
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 = 54275346935936/(1x279152)
LCM = 54275346935936/279152
LCM = 194429368
Thus, we can understand that the LCM of 796,956,511,584,239 is 194429368.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 796, 956, 511, 584, 239
1. What is the LCM of 796, 956, 511, 584, 239?
Answer: LCM of 796, 956, 511, 584, 239 is 194429368.
2. How to calculate the LCM of 796, 956, 511, 584, 239?
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 796, 956, 511, 584, 239.
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}.