LCM of 294, 980, 490, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 294, 980, 490, 210 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 294, 980, 490, 210. So, keep reading to learn more.
Given numbers are 294,980,490,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 294,980,490,210 is 2940.
Find LCM of 294,980,490,210 with Prime Factorization
| 2 | 294, 980, 490, 210 |
| 3 | 147, 490, 245, 105 |
| 5 | 49, 490, 245, 35 |
| 7 | 49, 98, 49, 7 |
| 7 | 1, 14, 7, 7 |
| 1, 2, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 7 x 1 x 2 x 1 x 1 = 2940
Therefore, the lowest common multiple of 294,980,490,210 is 2940.
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.
294 x 980 x 490 x 210 = 29647548000
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.
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
14 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,980,490,210, is 14.
Now, the common factors can be found like this.
294:2x 3x 7x 7
980:2x 2x 5x 7x 7
490:2x 5x 7x 7
210:2x 3x 5x 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 5x 7x 7x 7x 7 = 720300
Therefore, the value for common factors is 720300.
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 = 29647548000/(14x720300)
LCM = 29647548000/10084200
LCM = 2940
Thus, we can understand that the LCM of 294,980,490,210 is 2940.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 294, 980, 490, 210
1. What is the LCM of 294, 980, 490, 210?
Answer: LCM of 294, 980, 490, 210 is 2940.
2. How to calculate the LCM of 294, 980, 490, 210?
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 294, 980, 490, 210.
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}.