LCM of 980, 957, 957, 952
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 980, 957, 957, 952 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, 957, 957, 952. So, keep reading to learn more.
Given numbers are 980,957,957,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 980,957,957,952 is 31887240.
Find LCM of 980,957,957,952 with Prime Factorization
| 2 | 980, 957, 957, 952 |
| 2 | 490, 957, 957, 476 |
| 3 | 245, 957, 957, 238 |
| 7 | 245, 319, 319, 238 |
| 11 | 35, 319, 319, 34 |
| 29 | 35, 29, 29, 34 |
| 35, 1, 1, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 29 x 35 x 1 x 1 x 34 = 31887240
Therefore, the lowest common multiple of 980,957,957,952 is 31887240.
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 957 x 957 x 952 = 854450483040
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
957 : 1, 3, 11, 29, 33, 87, 319, 957
957 : 1, 3, 11, 29, 33, 87, 319, 957
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,957,957,952, is 1.
Now, the common factors can be found like this.
980:2x 2x 5x 7x 7
957:3x 11x 29
957:3x 11x 29
952:2x 2x 2x 7x 17
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 7x 11x 29 = 26796
Therefore, the value for common factors is 26796.
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 = 854450483040/(1x26796)
LCM = 854450483040/26796
LCM = 31887240
Thus, we can understand that the LCM of 980,957,957,952 is 31887240.
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FAQs on LCM of 980, 957, 957, 952
1. What is the LCM of 980, 957, 957, 952?
Answer: LCM of 980, 957, 957, 952 is 31887240.
2. How to calculate the LCM of 980, 957, 957, 952?
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, 957, 957, 952.
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}.