LCM of 980, 100, 584, 855, 359
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 980, 100, 584, 855, 359 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, 100, 584, 855, 359. So, keep reading to learn more.
Given numbers are 980,100,584,855,359
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 980,100,584,855,359 is 43917690600.
Find LCM of 980,100,584,855,359 with Prime Factorization
| 2 | 980, 100, 584, 855, 359 |
| 2 | 490, 50, 292, 855, 359 |
| 5 | 245, 25, 146, 855, 359 |
| 49, 5, 146, 171, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 49 x 5 x 146 x 171 x 359 = 43917690600
Therefore, the lowest common multiple of 980,100,584,855,359 is 43917690600.
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 100 x 584 x 855 x 359 = 17567076240000
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
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
584 : 1, 2, 4, 8, 73, 146, 292, 584
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
359 : 1, 359
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,100,584,855,359, is 1.
Now, the common factors can be found like this.
980:2x 2x 5x 7x 7
100:2x 2x 5x 5
584:2x 2x 2x 73
855:3x 3x 5x 19
359:359
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 2x 5x 5 = 400
Therefore, the value for common factors is 400.
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 = 17567076240000/(1x400)
LCM = 17567076240000/400
LCM = 43917690600
Thus, we can understand that the LCM of 980,100,584,855,359 is 43917690600.
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FAQs on LCM of 980, 100, 584, 855, 359
1. What is the LCM of 980, 100, 584, 855, 359?
Answer: LCM of 980, 100, 584, 855, 359 is 43917690600.
2. How to calculate the LCM of 980, 100, 584, 855, 359?
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, 100, 584, 855, 359.
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}.