LCM of 239, 588, 759, 572, 862
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 239, 588, 759, 572, 862 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 239, 588, 759, 572, 862. So, keep reading to learn more.
Given numbers are 239,588,759,572,862
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 239,588,759,572,862 is 199212401388.
Find LCM of 239,588,759,572,862 with Prime Factorization
| 2 | 239, 588, 759, 572, 862 |
| 2 | 239, 294, 759, 286, 431 |
| 3 | 239, 147, 759, 143, 431 |
| 11 | 239, 49, 253, 143, 431 |
| 239, 49, 23, 13, 431 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 239 x 49 x 23 x 13 x 431 = 199212401388
Therefore, the lowest common multiple of 239,588,759,572,862 is 199212401388.
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.
239 x 588 x 759 x 572 x 862 = 52592073966432
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.
239 : 1, 239
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
759 : 1, 3, 11, 23, 33, 69, 253, 759
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
862 : 1, 2, 431, 862
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,588,759,572,862, is 1.
Now, the common factors can be found like this.
239:239
588:2x 2x 3x 7x 7
759:3x 11x 23
572:2x 2x 11x 13
862:2x 431
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 11 = 264
Therefore, the value for common factors is 264.
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 = 52592073966432/(1x264)
LCM = 52592073966432/264
LCM = 199212401388
Thus, we can understand that the LCM of 239,588,759,572,862 is 199212401388.
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FAQs on LCM of 239, 588, 759, 572, 862
1. What is the LCM of 239, 588, 759, 572, 862?
Answer: LCM of 239, 588, 759, 572, 862 is 199212401388.
2. How to calculate the LCM of 239, 588, 759, 572, 862?
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 239, 588, 759, 572, 862.
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}.