LCM of 975, 313, 189, 400, 515
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 975, 313, 189, 400, 515 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 975, 313, 189, 400, 515. So, keep reading to learn more.
Given numbers are 975,313,189,400,515
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 975,313,189,400,515 is 31684489200.
Find LCM of 975,313,189,400,515 with Prime Factorization
| 3 | 975, 313, 189, 400, 515 |
| 5 | 325, 313, 63, 400, 515 |
| 5 | 65, 313, 63, 80, 103 |
| 13, 313, 63, 16, 103 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 13 x 313 x 63 x 16 x 103 = 31684489200
Therefore, the lowest common multiple of 975,313,189,400,515 is 31684489200.
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.
975 x 313 x 189 x 400 x 515 = 11881683450000
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.
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
313 : 1, 313
189 : 1, 3, 7, 9, 21, 27, 63, 189
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
515 : 1, 5, 103, 515
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,313,189,400,515, is 1.
Now, the common factors can be found like this.
975:3x 5x 5x 13
313:313
189:3x 3x 3x 7
400:2x 2x 2x 2x 5x 5
515:5x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 5 = 375
Therefore, the value for common factors is 375.
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 = 11881683450000/(1x375)
LCM = 11881683450000/375
LCM = 31684489200
Thus, we can understand that the LCM of 975,313,189,400,515 is 31684489200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 975, 313, 189, 400, 515
1. What is the LCM of 975, 313, 189, 400, 515?
Answer: LCM of 975, 313, 189, 400, 515 is 31684489200.
2. How to calculate the LCM of 975, 313, 189, 400, 515?
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 975, 313, 189, 400, 515.
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}.