LCM of 638, 795, 949, 846, 365
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 638, 795, 949, 846, 365 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 638, 795, 949, 846, 365. So, keep reading to learn more.
Given numbers are 638,795,949,846,365
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,795,949,846,365 is 67869262890.
Find LCM of 638,795,949,846,365 with Prime Factorization
| 2 | 638, 795, 949, 846, 365 |
| 3 | 319, 795, 949, 423, 365 |
| 5 | 319, 265, 949, 141, 365 |
| 73 | 319, 53, 949, 141, 73 |
| 319, 53, 13, 141, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 73 x 319 x 53 x 13 x 141 x 1 = 67869262890
Therefore, the lowest common multiple of 638,795,949,846,365 is 67869262890.
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.
638 x 795 x 949 x 846 x 365 = 148633685729100
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.
638 : 1, 2, 11, 22, 29, 58, 319, 638
795 : 1, 3, 5, 15, 53, 159, 265, 795
949 : 1, 13, 73, 949
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
365 : 1, 5, 73, 365
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,795,949,846,365, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
795:3x 5x 53
949:13x 73
846:2x 3x 3x 47
365:5x 73
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 5x 73 = 2190
Therefore, the value for common factors is 2190.
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 = 148633685729100/(1x2190)
LCM = 148633685729100/2190
LCM = 67869262890
Thus, we can understand that the LCM of 638,795,949,846,365 is 67869262890.
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FAQs on LCM of 638, 795, 949, 846, 365
1. What is the LCM of 638, 795, 949, 846, 365?
Answer: LCM of 638, 795, 949, 846, 365 is 67869262890.
2. How to calculate the LCM of 638, 795, 949, 846, 365?
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 638, 795, 949, 846, 365.
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}.