LCM of 980, 662, 421, 861, 662
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 980, 662, 421, 861, 662 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 980, 662, 421, 861, 662. So, keep reading to learn more.
Given numbers are 980,662,421,861,662
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 980,662,421,861,662 is 16797369540.
Find LCM of 980,662,421,861,662 with Prime Factorization
| 2 | 980, 662, 421, 861, 662 |
| 7 | 490, 331, 421, 861, 331 |
| 331 | 70, 331, 421, 123, 331 |
| 70, 1, 421, 123, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 331 x 70 x 1 x 421 x 123 x 1 = 16797369540
Therefore, the lowest common multiple of 980,662,421,861,662 is 16797369540.
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.
980 x 662 x 421 x 861 x 662 = 155678020896720
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.
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
662 : 1, 2, 331, 662
421 : 1, 421
861 : 1, 3, 7, 21, 41, 123, 287, 861
662 : 1, 2, 331, 662
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,662,421,861,662, is 1.
Now, the common factors can be found like this.
980:2x 2x 5x 7x 7
662:2x 331
421:421
861:3x 7x 41
662:2x 331
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 7x 331 = 9268
Therefore, the value for common factors is 9268.
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 = 155678020896720/(1x9268)
LCM = 155678020896720/9268
LCM = 16797369540
Thus, we can understand that the LCM of 980,662,421,861,662 is 16797369540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 980, 662, 421, 861, 662
1. What is the LCM of 980, 662, 421, 861, 662?
Answer: LCM of 980, 662, 421, 861, 662 is 16797369540.
2. How to calculate the LCM of 980, 662, 421, 861, 662?
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 980, 662, 421, 861, 662.
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}.