LCM of 858, 721, 391, 510, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 721, 391, 510, 342 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 858, 721, 391, 510, 342. So, keep reading to learn more.
Given numbers are 858,721,391,510,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,721,391,510,342 is 68935696830.
Find LCM of 858,721,391,510,342 with Prime Factorization
| 2 | 858, 721, 391, 510, 342 |
| 3 | 429, 721, 391, 255, 171 |
| 17 | 143, 721, 391, 85, 57 |
| 143, 721, 23, 5, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 143 x 721 x 23 x 5 x 57 = 68935696830
Therefore, the lowest common multiple of 858,721,391,510,342 is 68935696830.
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.
858 x 721 x 391 x 510 x 342 = 42188646459960
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
721 : 1, 7, 103, 721
391 : 1, 17, 23, 391
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,721,391,510,342, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
721:7x 103
391:17x 23
510:2x 3x 5x 17
342:2x 3x 3x 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 3x 3x 17 = 612
Therefore, the value for common factors is 612.
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 = 42188646459960/(1x612)
LCM = 42188646459960/612
LCM = 68935696830
Thus, we can understand that the LCM of 858,721,391,510,342 is 68935696830.
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FAQs on LCM of 858, 721, 391, 510, 342
1. What is the LCM of 858, 721, 391, 510, 342?
Answer: LCM of 858, 721, 391, 510, 342 is 68935696830.
2. How to calculate the LCM of 858, 721, 391, 510, 342?
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 858, 721, 391, 510, 342.
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}.