LCM of 980, 647, 303, 980, 418
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 980, 647, 303, 980, 418 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, 647, 303, 980, 418. So, keep reading to learn more.
Given numbers are 980,647,303,980,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 980,647,303,980,418 is 40153117620.
Find LCM of 980,647,303,980,418 with Prime Factorization
| 2 | 980, 647, 303, 980, 418 |
| 2 | 490, 647, 303, 490, 209 |
| 5 | 245, 647, 303, 245, 209 |
| 7 | 49, 647, 303, 49, 209 |
| 7 | 7, 647, 303, 7, 209 |
| 1, 647, 303, 1, 209 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 7 x 1 x 647 x 303 x 1 x 209 = 40153117620
Therefore, the lowest common multiple of 980,647,303,980,418 is 40153117620.
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 647 x 303 x 980 x 418 = 78700110535200
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
647 : 1, 647
303 : 1, 3, 101, 303
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,647,303,980,418, is 1.
Now, the common factors can be found like this.
980:2x 2x 5x 7x 7
647:647
303:3x 101
980:2x 2x 5x 7x 7
418:2x 11x 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 5x 7x 7 = 1960
Therefore, the value for common factors is 1960.
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 = 78700110535200/(1x1960)
LCM = 78700110535200/1960
LCM = 40153117620
Thus, we can understand that the LCM of 980,647,303,980,418 is 40153117620.
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FAQs on LCM of 980, 647, 303, 980, 418
1. What is the LCM of 980, 647, 303, 980, 418?
Answer: LCM of 980, 647, 303, 980, 418 is 40153117620.
2. How to calculate the LCM of 980, 647, 303, 980, 418?
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, 647, 303, 980, 418.
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}.