LCM of 865, 704, 470, 106
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 865, 704, 470, 106 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 865, 704, 470, 106. So, keep reading to learn more.
Given numbers are 865,704,470,106
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 865,704,470,106 is 1516919360.
Find LCM of 865,704,470,106 with Prime Factorization
| 2 | 865, 704, 470, 106 |
| 5 | 865, 352, 235, 53 |
| 173, 352, 47, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 173 x 352 x 47 x 53 = 1516919360
Therefore, the lowest common multiple of 865,704,470,106 is 1516919360.
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.
865 x 704 x 470 x 106 = 30338387200
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.
865 : 1, 5, 173, 865
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
470 : 1, 2, 5, 10, 47, 94, 235, 470
106 : 1, 2, 53, 106
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,704,470,106, is 1.
Now, the common factors can be found like this.
865:5x 173
704:2x 2x 2x 2x 2x 2x 11
470:2x 5x 47
106:2x 53
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 5 = 20
Therefore, the value for common factors is 20.
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 = 30338387200/(1x20)
LCM = 30338387200/20
LCM = 1516919360
Thus, we can understand that the LCM of 865,704,470,106 is 1516919360.
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FAQs on LCM of 865, 704, 470, 106
1. What is the LCM of 865, 704, 470, 106?
Answer: LCM of 865, 704, 470, 106 is 1516919360.
2. How to calculate the LCM of 865, 704, 470, 106?
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 865, 704, 470, 106.
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}.