LCM of 720, 853, 408, 975, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 720, 853, 408, 975, 902 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 720, 853, 408, 975, 902. So, keep reading to learn more.
Given numbers are 720,853,408,975,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 720,853,408,975,902 is 306069706800.
Find LCM of 720,853,408,975,902 with Prime Factorization
| 2 | 720, 853, 408, 975, 902 |
| 2 | 360, 853, 204, 975, 451 |
| 2 | 180, 853, 102, 975, 451 |
| 3 | 90, 853, 51, 975, 451 |
| 5 | 30, 853, 17, 325, 451 |
| 6, 853, 17, 65, 451 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 6 x 853 x 17 x 65 x 451 = 306069706800
Therefore, the lowest common multiple of 720,853,408,975,902 is 306069706800.
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.
720 x 853 x 408 x 975 x 902 = 220370188896000
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.
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
853 : 1, 853
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,853,408,975,902, is 1.
Now, the common factors can be found like this.
720:2x 2x 2x 2x 3x 3x 5
853:853
408:2x 2x 2x 3x 17
975:3x 5x 5x 13
902:2x 11x 41
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 2x 3x 3x 5 = 720
Therefore, the value for common factors is 720.
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 = 220370188896000/(1x720)
LCM = 220370188896000/720
LCM = 306069706800
Thus, we can understand that the LCM of 720,853,408,975,902 is 306069706800.
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FAQs on LCM of 720, 853, 408, 975, 902
1. What is the LCM of 720, 853, 408, 975, 902?
Answer: LCM of 720, 853, 408, 975, 902 is 306069706800.
2. How to calculate the LCM of 720, 853, 408, 975, 902?
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 720, 853, 408, 975, 902.
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}.