LCM of 980, 174, 488, 610, 710
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 980, 174, 488, 610, 710 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, 174, 488, 610, 710. So, keep reading to learn more.
Given numbers are 980,174,488,610,710
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 980,174,488,610,710 is 738522120.
Find LCM of 980,174,488,610,710 with Prime Factorization
| 2 | 980, 174, 488, 610, 710 |
| 2 | 490, 87, 244, 305, 355 |
| 5 | 245, 87, 122, 305, 355 |
| 61 | 49, 87, 122, 61, 71 |
| 49, 87, 2, 1, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 61 x 49 x 87 x 2 x 1 x 71 = 738522120
Therefore, the lowest common multiple of 980,174,488,610,710 is 738522120.
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 174 x 488 x 610 x 710 = 36039879456000
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
174 : 1, 2, 3, 6, 29, 58, 87, 174
488 : 1, 2, 4, 8, 61, 122, 244, 488
610 : 1, 2, 5, 10, 61, 122, 305, 610
710 : 1, 2, 5, 10, 71, 142, 355, 710
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,174,488,610,710, is 2.
Now, the common factors can be found like this.
980:2x 2x 5x 7x 7
174:2x 3x 29
488:2x 2x 2x 61
610:2x 5x 61
710:2x 5x 71
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 5x 61 = 24400
Therefore, the value for common factors is 24400.
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 = 36039879456000/(2x24400)
LCM = 36039879456000/48800
LCM = 738522120
Thus, we can understand that the LCM of 980,174,488,610,710 is 738522120.
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FAQs on LCM of 980, 174, 488, 610, 710
1. What is the LCM of 980, 174, 488, 610, 710?
Answer: LCM of 980, 174, 488, 610, 710 is 738522120.
2. How to calculate the LCM of 980, 174, 488, 610, 710?
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, 174, 488, 610, 710.
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}.