LCM of 704, 814, 710, 865, 406
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 814, 710, 865, 406 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 704, 814, 710, 865, 406. So, keep reading to learn more.
Given numbers are 704,814,710,865,406
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,814,710,865,406 is 324746797760.
Find LCM of 704,814,710,865,406 with Prime Factorization
| 2 | 704, 814, 710, 865, 406 |
| 5 | 352, 407, 355, 865, 203 |
| 11 | 352, 407, 71, 173, 203 |
| 32, 37, 71, 173, 203 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 32 x 37 x 71 x 173 x 203 = 324746797760
Therefore, the lowest common multiple of 704,814,710,865,406 is 324746797760.
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.
704 x 814 x 710 x 865 x 406 = 142888591014400
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
814 : 1, 2, 11, 22, 37, 74, 407, 814
710 : 1, 2, 5, 10, 71, 142, 355, 710
865 : 1, 5, 173, 865
406 : 1, 2, 7, 14, 29, 58, 203, 406
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,814,710,865,406, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
814:2x 11x 37
710:2x 5x 71
865:5x 173
406:2x 7x 29
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 5x 11 = 440
Therefore, the value for common factors is 440.
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 = 142888591014400/(1x440)
LCM = 142888591014400/440
LCM = 324746797760
Thus, we can understand that the LCM of 704,814,710,865,406 is 324746797760.
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FAQs on LCM of 704, 814, 710, 865, 406
1. What is the LCM of 704, 814, 710, 865, 406?
Answer: LCM of 704, 814, 710, 865, 406 is 324746797760.
2. How to calculate the LCM of 704, 814, 710, 865, 406?
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 704, 814, 710, 865, 406.
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}.