LCM of 341, 844, 527, 349, 870
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 341, 844, 527, 349, 870 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 341, 844, 527, 349, 870. So, keep reading to learn more.
Given numbers are 341,844,527,349,870
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,844,527,349,870 is 742780392420.
Find LCM of 341,844,527,349,870 with Prime Factorization
| 2 | 341, 844, 527, 349, 870 |
| 31 | 341, 422, 527, 349, 435 |
| 11, 422, 17, 349, 435 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 11 x 422 x 17 x 349 x 435 = 742780392420
Therefore, the lowest common multiple of 341,844,527,349,870 is 742780392420.
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.
341 x 844 x 527 x 349 x 870 = 46052384330040
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.
341 : 1, 11, 31, 341
844 : 1, 2, 4, 211, 422, 844
527 : 1, 17, 31, 527
349 : 1, 349
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,844,527,349,870, is 1.
Now, the common factors can be found like this.
341:11x 31
844:2x 2x 211
527:17x 31
349:349
870:2x 3x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 31 = 62
Therefore, the value for common factors is 62.
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 = 46052384330040/(1x62)
LCM = 46052384330040/62
LCM = 742780392420
Thus, we can understand that the LCM of 341,844,527,349,870 is 742780392420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 341, 844, 527, 349, 870
1. What is the LCM of 341, 844, 527, 349, 870?
Answer: LCM of 341, 844, 527, 349, 870 is 742780392420.
2. How to calculate the LCM of 341, 844, 527, 349, 870?
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 341, 844, 527, 349, 870.
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}.