LCM of 874, 858, 319, 345, 283
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 858, 319, 345, 283 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 874, 858, 319, 345, 283. So, keep reading to learn more.
Given numbers are 874,858,319,345,283
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,858,319,345,283 is 15385909110.
Find LCM of 874,858,319,345,283 with Prime Factorization
| 2 | 874, 858, 319, 345, 283 |
| 3 | 437, 429, 319, 345, 283 |
| 11 | 437, 143, 319, 115, 283 |
| 23 | 437, 13, 29, 115, 283 |
| 19, 13, 29, 5, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 23 x 19 x 13 x 29 x 5 x 283 = 15385909110
Therefore, the lowest common multiple of 874,858,319,345,283 is 15385909110.
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.
874 x 858 x 319 x 345 x 283 = 23355810028980
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
319 : 1, 11, 29, 319
345 : 1, 3, 5, 15, 23, 69, 115, 345
283 : 1, 283
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,858,319,345,283, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
858:2x 3x 11x 13
319:11x 29
345:3x 5x 23
283:283
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 11x 23 = 1518
Therefore, the value for common factors is 1518.
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 = 23355810028980/(1x1518)
LCM = 23355810028980/1518
LCM = 15385909110
Thus, we can understand that the LCM of 874,858,319,345,283 is 15385909110.
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FAQs on LCM of 874, 858, 319, 345, 283
1. What is the LCM of 874, 858, 319, 345, 283?
Answer: LCM of 874, 858, 319, 345, 283 is 15385909110.
2. How to calculate the LCM of 874, 858, 319, 345, 283?
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 874, 858, 319, 345, 283.
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}.