LCM of 671, 981, 980, 280, 545
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 981, 980, 280, 545 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 671, 981, 980, 280, 545. So, keep reading to learn more.
Given numbers are 671,981,980,280,545
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,981,980,280,545 is 1290171960.
Find LCM of 671,981,980,280,545 with Prime Factorization
| 2 | 671, 981, 980, 280, 545 |
| 2 | 671, 981, 490, 140, 545 |
| 5 | 671, 981, 245, 70, 545 |
| 7 | 671, 981, 49, 14, 109 |
| 109 | 671, 981, 7, 2, 109 |
| 671, 9, 7, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 109 x 671 x 9 x 7 x 2 x 1 = 1290171960
Therefore, the lowest common multiple of 671,981,980,280,545 is 1290171960.
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.
671 x 981 x 980 x 280 x 545 = 98440120548000
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.
671 : 1, 11, 61, 671
981 : 1, 3, 9, 109, 327, 981
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
545 : 1, 5, 109, 545
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,981,980,280,545, is 1.
Now, the common factors can be found like this.
671:11x 61
981:3x 3x 109
980:2x 2x 5x 7x 7
280:2x 2x 2x 5x 7
545:5x 109
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 5x 5x 7x 109 = 76300
Therefore, the value for common factors is 76300.
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 = 98440120548000/(1x76300)
LCM = 98440120548000/76300
LCM = 1290171960
Thus, we can understand that the LCM of 671,981,980,280,545 is 1290171960.
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FAQs on LCM of 671, 981, 980, 280, 545
1. What is the LCM of 671, 981, 980, 280, 545?
Answer: LCM of 671, 981, 980, 280, 545 is 1290171960.
2. How to calculate the LCM of 671, 981, 980, 280, 545?
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 671, 981, 980, 280, 545.
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}.