LCM of 980, 353, 756, 108
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 980, 353, 756, 108 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, 353, 756, 108. So, keep reading to learn more.
Given numbers are 980,353,756,108
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 980,353,756,108 is 9340380.
Find LCM of 980,353,756,108 with Prime Factorization
| 2 | 980, 353, 756, 108 |
| 2 | 490, 353, 378, 54 |
| 3 | 245, 353, 189, 27 |
| 3 | 245, 353, 63, 9 |
| 3 | 245, 353, 21, 3 |
| 7 | 245, 353, 7, 1 |
| 35, 353, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 7 x 35 x 353 x 1 x 1 = 9340380
Therefore, the lowest common multiple of 980,353,756,108 is 9340380.
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 353 x 756 x 108 = 28245309120
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
353 : 1, 353
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,353,756,108, is 1.
Now, the common factors can be found like this.
980:2x 2x 5x 7x 7
353:353
756:2x 2x 3x 3x 3x 7
108:2x 2x 3x 3x 3
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 3x 3x 3x 7 = 3024
Therefore, the value for common factors is 3024.
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 = 28245309120/(1x3024)
LCM = 28245309120/3024
LCM = 9340380
Thus, we can understand that the LCM of 980,353,756,108 is 9340380.
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FAQs on LCM of 980, 353, 756, 108
1. What is the LCM of 980, 353, 756, 108?
Answer: LCM of 980, 353, 756, 108 is 9340380.
2. How to calculate the LCM of 980, 353, 756, 108?
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, 353, 756, 108.
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}.