LCM of 902, 578, 865, 825, 382
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 578, 865, 825, 382 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 902, 578, 865, 825, 382. So, keep reading to learn more.
Given numbers are 902,578,865,825,382
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,578,865,825,382 is 646018736550.
Find LCM of 902,578,865,825,382 with Prime Factorization
| 2 | 902, 578, 865, 825, 382 |
| 5 | 451, 289, 865, 825, 191 |
| 11 | 451, 289, 173, 165, 191 |
| 41, 289, 173, 15, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 41 x 289 x 173 x 15 x 191 = 646018736550
Therefore, the lowest common multiple of 902,578,865,825,382 is 646018736550.
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.
902 x 578 x 865 x 825 x 382 = 142124122041000
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
578 : 1, 2, 17, 34, 289, 578
865 : 1, 5, 173, 865
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
382 : 1, 2, 191, 382
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,578,865,825,382, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
578:2x 17x 17
865:5x 173
825:3x 5x 5x 11
382:2x 191
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 5x 11 = 220
Therefore, the value for common factors is 220.
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 = 142124122041000/(1x220)
LCM = 142124122041000/220
LCM = 646018736550
Thus, we can understand that the LCM of 902,578,865,825,382 is 646018736550.
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FAQs on LCM of 902, 578, 865, 825, 382
1. What is the LCM of 902, 578, 865, 825, 382?
Answer: LCM of 902, 578, 865, 825, 382 is 646018736550.
2. How to calculate the LCM of 902, 578, 865, 825, 382?
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 902, 578, 865, 825, 382.
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}.