LCM of 846, 702, 571, 418, 608
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 846, 702, 571, 418, 608 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 846, 702, 571, 418, 608. So, keep reading to learn more.
Given numbers are 846,702,571,418,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 846,702,571,418,608 is 62999535456.
Find LCM of 846,702,571,418,608 with Prime Factorization
| 2 | 846, 702, 571, 418, 608 |
| 3 | 423, 351, 571, 209, 304 |
| 3 | 141, 117, 571, 209, 304 |
| 19 | 47, 39, 571, 209, 304 |
| 47, 39, 571, 11, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 47 x 39 x 571 x 11 x 16 = 62999535456
Therefore, the lowest common multiple of 846,702,571,418,608 is 62999535456.
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.
846 x 702 x 571 x 418 x 608 = 86183364503808
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.
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
571 : 1, 571
418 : 1, 2, 11, 19, 22, 38, 209, 418
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 846,702,571,418,608, is 1.
Now, the common factors can be found like this.
846:2x 3x 3x 47
702:2x 3x 3x 3x 13
571:571
418:2x 11x 19
608:2x 2x 2x 2x 2x 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 2x 3x 3x 19 = 1368
Therefore, the value for common factors is 1368.
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 = 86183364503808/(1x1368)
LCM = 86183364503808/1368
LCM = 62999535456
Thus, we can understand that the LCM of 846,702,571,418,608 is 62999535456.
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FAQs on LCM of 846, 702, 571, 418, 608
1. What is the LCM of 846, 702, 571, 418, 608?
Answer: LCM of 846, 702, 571, 418, 608 is 62999535456.
2. How to calculate the LCM of 846, 702, 571, 418, 608?
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 846, 702, 571, 418, 608.
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}.