LCM of 298, 578, 521, 554, 853
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 298, 578, 521, 554, 853 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 298, 578, 521, 554, 853. So, keep reading to learn more.
Given numbers are 298,578,521,554,853
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,578,521,554,853 is 10601824978922.
Find LCM of 298,578,521,554,853 with Prime Factorization
| 2 | 298, 578, 521, 554, 853 |
| 149, 289, 521, 277, 853 |
Multiply the prime numbers at the bottom and the left side.
2 x 149 x 289 x 521 x 277 x 853 = 10601824978922
Therefore, the lowest common multiple of 298,578,521,554,853 is 10601824978922.
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.
298 x 578 x 521 x 554 x 853 = 42407299915688
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.
298 : 1, 2, 149, 298
578 : 1, 2, 17, 34, 289, 578
521 : 1, 521
554 : 1, 2, 277, 554
853 : 1, 853
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,578,521,554,853, is 1.
Now, the common factors can be found like this.
298:2x 149
578:2x 17x 17
521:521
554:2x 277
853:853
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 42407299915688/(1x4)
LCM = 42407299915688/4
LCM = 10601824978922
Thus, we can understand that the LCM of 298,578,521,554,853 is 10601824978922.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 298, 578, 521, 554, 853
1. What is the LCM of 298, 578, 521, 554, 853?
Answer: LCM of 298, 578, 521, 554, 853 is 10601824978922.
2. How to calculate the LCM of 298, 578, 521, 554, 853?
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 298, 578, 521, 554, 853.
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}.