LCM of 702, 406, 778, 897, 904
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 702, 406, 778, 897, 904 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 702, 406, 778, 897, 904. So, keep reading to learn more.
Given numbers are 702,406,778,897,904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,406,778,897,904 is 576300534264.
Find LCM of 702,406,778,897,904 with Prime Factorization
| 2 | 702, 406, 778, 897, 904 |
| 3 | 351, 203, 389, 897, 452 |
| 13 | 117, 203, 389, 299, 452 |
| 9, 203, 389, 23, 452 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 9 x 203 x 389 x 23 x 452 = 576300534264
Therefore, the lowest common multiple of 702,406,778,897,904 is 576300534264.
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.
702 x 406 x 778 x 897 x 904 = 179805766690368
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
406 : 1, 2, 7, 14, 29, 58, 203, 406
778 : 1, 2, 389, 778
897 : 1, 3, 13, 23, 39, 69, 299, 897
904 : 1, 2, 4, 8, 113, 226, 452, 904
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,406,778,897,904, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
406:2x 7x 29
778:2x 389
897:3x 13x 23
904:2x 2x 2x 113
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 13 = 312
Therefore, the value for common factors is 312.
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 = 179805766690368/(1x312)
LCM = 179805766690368/312
LCM = 576300534264
Thus, we can understand that the LCM of 702,406,778,897,904 is 576300534264.
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FAQs on LCM of 702, 406, 778, 897, 904
1. What is the LCM of 702, 406, 778, 897, 904?
Answer: LCM of 702, 406, 778, 897, 904 is 576300534264.
2. How to calculate the LCM of 702, 406, 778, 897, 904?
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 702, 406, 778, 897, 904.
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}.