LCM of 647, 124, 174, 969, 855
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 647, 124, 174, 969, 855 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 647, 124, 174, 969, 855. So, keep reading to learn more.
Given numbers are 647,124,174,969,855
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 647,124,174,969,855 is 33817305420.
Find LCM of 647,124,174,969,855 with Prime Factorization
| 2 | 647, 124, 174, 969, 855 |
| 3 | 647, 62, 87, 969, 855 |
| 19 | 647, 62, 29, 323, 285 |
| 647, 62, 29, 17, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 647 x 62 x 29 x 17 x 15 = 33817305420
Therefore, the lowest common multiple of 647,124,174,969,855 is 33817305420.
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.
647 x 124 x 174 x 969 x 855 = 11565518453640
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.
647 : 1, 647
124 : 1, 2, 4, 31, 62, 124
174 : 1, 2, 3, 6, 29, 58, 87, 174
969 : 1, 3, 17, 19, 51, 57, 323, 969
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 647,124,174,969,855, is 1.
Now, the common factors can be found like this.
647:647
124:2x 2x 31
174:2x 3x 29
969:3x 17x 19
855:3x 3x 5x 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 3x 3x 19 = 342
Therefore, the value for common factors is 342.
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 = 11565518453640/(1x342)
LCM = 11565518453640/342
LCM = 33817305420
Thus, we can understand that the LCM of 647,124,174,969,855 is 33817305420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 647, 124, 174, 969, 855
1. What is the LCM of 647, 124, 174, 969, 855?
Answer: LCM of 647, 124, 174, 969, 855 is 33817305420.
2. How to calculate the LCM of 647, 124, 174, 969, 855?
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 647, 124, 174, 969, 855.
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}.