LCM of 841, 894, 344, 858, 507
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 841, 894, 344, 858, 507 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 841, 894, 344, 858, 507. So, keep reading to learn more.
Given numbers are 841,894,344,858,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 841,894,344,858,507 is 240403812792.
Find LCM of 841,894,344,858,507 with Prime Factorization
| 2 | 841, 894, 344, 858, 507 |
| 3 | 841, 447, 172, 429, 507 |
| 13 | 841, 149, 172, 143, 169 |
| 841, 149, 172, 11, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 841 x 149 x 172 x 11 x 13 = 240403812792
Therefore, the lowest common multiple of 841,894,344,858,507 is 240403812792.
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.
841 x 894 x 344 x 858 x 507 = 112508984386656
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.
841 : 1, 29, 841
894 : 1, 2, 3, 6, 149, 298, 447, 894
344 : 1, 2, 4, 8, 43, 86, 172, 344
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
507 : 1, 3, 13, 39, 169, 507
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,894,344,858,507, is 1.
Now, the common factors can be found like this.
841:29x 29
894:2x 3x 149
344:2x 2x 2x 43
858:2x 3x 11x 13
507:3x 13x 13
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 13 = 468
Therefore, the value for common factors is 468.
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 = 112508984386656/(1x468)
LCM = 112508984386656/468
LCM = 240403812792
Thus, we can understand that the LCM of 841,894,344,858,507 is 240403812792.
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FAQs on LCM of 841, 894, 344, 858, 507
1. What is the LCM of 841, 894, 344, 858, 507?
Answer: LCM of 841, 894, 344, 858, 507 is 240403812792.
2. How to calculate the LCM of 841, 894, 344, 858, 507?
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 841, 894, 344, 858, 507.
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}.