LCM of 998, 340, 649, 649, 610
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 998, 340, 649, 649, 610 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 998, 340, 649, 649, 610. So, keep reading to learn more.
Given numbers are 998,340,649,649,610
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,340,649,649,610 is 6716669740.
Find LCM of 998,340,649,649,610 with Prime Factorization
| 2 | 998, 340, 649, 649, 610 |
| 5 | 499, 170, 649, 649, 305 |
| 11 | 499, 34, 649, 649, 61 |
| 59 | 499, 34, 59, 59, 61 |
| 499, 34, 1, 1, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 59 x 499 x 34 x 1 x 1 x 61 = 6716669740
Therefore, the lowest common multiple of 998,340,649,649,610 is 6716669740.
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.
998 x 340 x 649 x 649 x 610 = 87182373225200
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.
998 : 1, 2, 499, 998
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
649 : 1, 11, 59, 649
649 : 1, 11, 59, 649
610 : 1, 2, 5, 10, 61, 122, 305, 610
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,340,649,649,610, is 1.
Now, the common factors can be found like this.
998:2x 499
340:2x 2x 5x 17
649:11x 59
649:11x 59
610:2x 5x 61
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 11x 59 = 12980
Therefore, the value for common factors is 12980.
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 = 87182373225200/(1x12980)
LCM = 87182373225200/12980
LCM = 6716669740
Thus, we can understand that the LCM of 998,340,649,649,610 is 6716669740.
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FAQs on LCM of 998, 340, 649, 649, 610
1. What is the LCM of 998, 340, 649, 649, 610?
Answer: LCM of 998, 340, 649, 649, 610 is 6716669740.
2. How to calculate the LCM of 998, 340, 649, 649, 610?
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 998, 340, 649, 649, 610.
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}.