LCM of 568, 839, 862, 919, 392
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 568, 839, 862, 919, 392 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 568, 839, 862, 919, 392. So, keep reading to learn more.
Given numbers are 568,839,862,919,392
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 568,839,862,919,392 is 9249093251272.
Find LCM of 568,839,862,919,392 with Prime Factorization
| 2 | 568, 839, 862, 919, 392 |
| 2 | 284, 839, 431, 919, 196 |
| 2 | 142, 839, 431, 919, 98 |
| 71, 839, 431, 919, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 71 x 839 x 431 x 919 x 49 = 9249093251272
Therefore, the lowest common multiple of 568,839,862,919,392 is 9249093251272.
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.
568 x 839 x 862 x 919 x 392 = 147985492020352
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.
568 : 1, 2, 4, 8, 71, 142, 284, 568
839 : 1, 839
862 : 1, 2, 431, 862
919 : 1, 919
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,839,862,919,392, is 1.
Now, the common factors can be found like this.
568:2x 2x 2x 71
839:839
862:2x 431
919:919
392:2x 2x 2x 7x 7
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 2 = 16
Therefore, the value for common factors is 16.
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 = 147985492020352/(1x16)
LCM = 147985492020352/16
LCM = 9249093251272
Thus, we can understand that the LCM of 568,839,862,919,392 is 9249093251272.
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FAQs on LCM of 568, 839, 862, 919, 392
1. What is the LCM of 568, 839, 862, 919, 392?
Answer: LCM of 568, 839, 862, 919, 392 is 9249093251272.
2. How to calculate the LCM of 568, 839, 862, 919, 392?
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 568, 839, 862, 919, 392.
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}.