LCM of 975, 207, 561, 824, 475
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 975, 207, 561, 824, 475 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, 207, 561, 824, 475. So, keep reading to learn more.
Given numbers are 975,207,561,824,475
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 975,207,561,824,475 is 196959133800.
Find LCM of 975,207,561,824,475 with Prime Factorization
| 3 | 975, 207, 561, 824, 475 |
| 5 | 325, 69, 187, 824, 475 |
| 5 | 65, 69, 187, 824, 95 |
| 13, 69, 187, 824, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 13 x 69 x 187 x 824 x 19 = 196959133800
Therefore, the lowest common multiple of 975,207,561,824,475 is 196959133800.
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 207 x 561 x 824 x 475 = 44315805105000
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
207 : 1, 3, 9, 23, 69, 207
561 : 1, 3, 11, 17, 33, 51, 187, 561
824 : 1, 2, 4, 8, 103, 206, 412, 824
475 : 1, 5, 19, 25, 95, 475
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,207,561,824,475, is 1.
Now, the common factors can be found like this.
975:3x 5x 5x 13
207:3x 3x 23
561:3x 11x 17
824:2x 2x 2x 103
475:5x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 5 = 225
Therefore, the value for common factors is 225.
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 = 44315805105000/(1x225)
LCM = 44315805105000/225
LCM = 196959133800
Thus, we can understand that the LCM of 975,207,561,824,475 is 196959133800.
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FAQs on LCM of 975, 207, 561, 824, 475
1. What is the LCM of 975, 207, 561, 824, 475?
Answer: LCM of 975, 207, 561, 824, 475 is 196959133800.
2. How to calculate the LCM of 975, 207, 561, 824, 475?
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, 207, 561, 824, 475.
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}.