LCM of 379, 978, 671, 538, 280
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 379, 978, 671, 538, 280 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 379, 978, 671, 538, 280. So, keep reading to learn more.
Given numbers are 379,978,671,538,280
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,978,671,538,280 is 9366576847320.
Find LCM of 379,978,671,538,280 with Prime Factorization
| 2 | 379, 978, 671, 538, 280 |
| 379, 489, 671, 269, 140 |
Multiply the prime numbers at the bottom and the left side.
2 x 379 x 489 x 671 x 269 x 140 = 9366576847320
Therefore, the lowest common multiple of 379,978,671,538,280 is 9366576847320.
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.
379 x 978 x 671 x 538 x 280 = 37466307389280
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.
379 : 1, 379
978 : 1, 2, 3, 6, 163, 326, 489, 978
671 : 1, 11, 61, 671
538 : 1, 2, 269, 538
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,978,671,538,280, is 1.
Now, the common factors can be found like this.
379:379
978:2x 3x 163
671:11x 61
538:2x 269
280:2x 2x 2x 5x 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 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 = 37466307389280/(1x4)
LCM = 37466307389280/4
LCM = 9366576847320
Thus, we can understand that the LCM of 379,978,671,538,280 is 9366576847320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 379, 978, 671, 538, 280
1. What is the LCM of 379, 978, 671, 538, 280?
Answer: LCM of 379, 978, 671, 538, 280 is 9366576847320.
2. How to calculate the LCM of 379, 978, 671, 538, 280?
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 379, 978, 671, 538, 280.
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}.