LCM of 980, 527, 986, 700, 690
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 980, 527, 986, 700, 690 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, 527, 986, 700, 690. So, keep reading to learn more.
Given numbers are 980,527,986,700,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 980,527,986,700,690 is 5167182300.
Find LCM of 980,527,986,700,690 with Prime Factorization
| 2 | 980, 527, 986, 700, 690 |
| 2 | 490, 527, 493, 350, 345 |
| 5 | 245, 527, 493, 175, 345 |
| 7 | 49, 527, 493, 35, 69 |
| 17 | 7, 527, 493, 5, 69 |
| 7, 31, 29, 5, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 17 x 7 x 31 x 29 x 5 x 69 = 5167182300
Therefore, the lowest common multiple of 980,527,986,700,690 is 5167182300.
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 527 x 986 x 700 x 690 = 245957877480000
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
527 : 1, 17, 31, 527
986 : 1, 2, 17, 29, 34, 58, 493, 986
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,527,986,700,690, is 1.
Now, the common factors can be found like this.
980:2x 2x 5x 7x 7
527:17x 31
986:2x 17x 29
700:2x 2x 5x 5x 7
690:2x 3x 5x 23
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 7x 17 = 47600
Therefore, the value for common factors is 47600.
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 = 245957877480000/(1x47600)
LCM = 245957877480000/47600
LCM = 5167182300
Thus, we can understand that the LCM of 980,527,986,700,690 is 5167182300.
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FAQs on LCM of 980, 527, 986, 700, 690
1. What is the LCM of 980, 527, 986, 700, 690?
Answer: LCM of 980, 527, 986, 700, 690 is 5167182300.
2. How to calculate the LCM of 980, 527, 986, 700, 690?
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, 527, 986, 700, 690.
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}.