LCM of 392, 478, 283, 821, 608
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 392, 478, 283, 821, 608 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 392, 478, 283, 821, 608. So, keep reading to learn more.
Given numbers are 392,478,283,821,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 392,478,283,821,608 is 1654349074784.
Find LCM of 392,478,283,821,608 with Prime Factorization
| 2 | 392, 478, 283, 821, 608 |
| 2 | 196, 239, 283, 821, 304 |
| 2 | 98, 239, 283, 821, 152 |
| 49, 239, 283, 821, 76 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 49 x 239 x 283 x 821 x 76 = 1654349074784
Therefore, the lowest common multiple of 392,478,283,821,608 is 1654349074784.
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.
392 x 478 x 283 x 821 x 608 = 26469585196544
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.
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
478 : 1, 2, 239, 478
283 : 1, 283
821 : 1, 821
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,478,283,821,608, is 1.
Now, the common factors can be found like this.
392:2x 2x 2x 7x 7
478:2x 239
283:283
821:821
608:2x 2x 2x 2x 2x 19
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 = 26469585196544/(1x16)
LCM = 26469585196544/16
LCM = 1654349074784
Thus, we can understand that the LCM of 392,478,283,821,608 is 1654349074784.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 392, 478, 283, 821, 608
1. What is the LCM of 392, 478, 283, 821, 608?
Answer: LCM of 392, 478, 283, 821, 608 is 1654349074784.
2. How to calculate the LCM of 392, 478, 283, 821, 608?
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 392, 478, 283, 821, 608.
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}.