LCM of 210, 309, 686, 980
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 210, 309, 686, 980 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 210, 309, 686, 980. So, keep reading to learn more.
Given numbers are 210,309,686,980
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,309,686,980 is 2119740.
Find LCM of 210,309,686,980 with Prime Factorization
| 2 | 210, 309, 686, 980 |
| 3 | 105, 309, 343, 490 |
| 5 | 35, 103, 343, 490 |
| 7 | 7, 103, 343, 98 |
| 7 | 1, 103, 49, 14 |
| 1, 103, 7, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 7 x 1 x 103 x 7 x 2 = 2119740
Therefore, the lowest common multiple of 210,309,686,980 is 2119740.
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.
210 x 309 x 686 x 980 = 43624249200
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.
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
309 : 1, 3, 103, 309
686 : 1, 2, 7, 14, 49, 98, 343, 686
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,309,686,980, is 1.
Now, the common factors can be found like this.
210:2x 3x 5x 7
309:3x 103
686:2x 7x 7x 7
980:2x 2x 5x 7x 7
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 3x 5x 7x 7x 7 = 20580
Therefore, the value for common factors is 20580.
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 = 43624249200/(1x20580)
LCM = 43624249200/20580
LCM = 2119740
Thus, we can understand that the LCM of 210,309,686,980 is 2119740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 210, 309, 686, 980
1. What is the LCM of 210, 309, 686, 980?
Answer: LCM of 210, 309, 686, 980 is 2119740.
2. How to calculate the LCM of 210, 309, 686, 980?
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 210, 309, 686, 980.
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}.