LCM of 888, 398, 192, 626, 824
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 888, 398, 192, 626, 824 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 888, 398, 192, 626, 824. So, keep reading to learn more.
Given numbers are 888,398,192,626,824
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 888,398,192,626,824 is 45576145344.
Find LCM of 888,398,192,626,824 with Prime Factorization
| 2 | 888, 398, 192, 626, 824 |
| 2 | 444, 199, 96, 313, 412 |
| 2 | 222, 199, 48, 313, 206 |
| 3 | 111, 199, 24, 313, 103 |
| 37, 199, 8, 313, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 37 x 199 x 8 x 313 x 103 = 45576145344
Therefore, the lowest common multiple of 888,398,192,626,824 is 45576145344.
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.
888 x 398 x 192 x 626 x 824 = 35002479624192
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.
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
398 : 1, 2, 199, 398
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
626 : 1, 2, 313, 626
824 : 1, 2, 4, 8, 103, 206, 412, 824
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 888,398,192,626,824, is 2.
Now, the common factors can be found like this.
888:2x 2x 2x 3x 37
398:2x 199
192:2x 2x 2x 2x 2x 2x 3
626:2x 313
824:2x 2x 2x 103
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 2x 2x 2x 3 = 384
Therefore, the value for common factors is 384.
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 = 35002479624192/(2x384)
LCM = 35002479624192/768
LCM = 45576145344
Thus, we can understand that the LCM of 888,398,192,626,824 is 45576145344.
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FAQs on LCM of 888, 398, 192, 626, 824
1. What is the LCM of 888, 398, 192, 626, 824?
Answer: LCM of 888, 398, 192, 626, 824 is 45576145344.
2. How to calculate the LCM of 888, 398, 192, 626, 824?
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 888, 398, 192, 626, 824.
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}.