LCM of 976, 695, 775, 450, 374
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 976, 695, 775, 450, 374 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 976, 695, 775, 450, 374. So, keep reading to learn more.
Given numbers are 976,695,775,450,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 976,695,775,450,374 is 176949946800.
Find LCM of 976,695,775,450,374 with Prime Factorization
| 2 | 976, 695, 775, 450, 374 |
| 5 | 488, 695, 775, 225, 187 |
| 5 | 488, 139, 155, 45, 187 |
| 488, 139, 31, 9, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 488 x 139 x 31 x 9 x 187 = 176949946800
Therefore, the lowest common multiple of 976,695,775,450,374 is 176949946800.
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.
976 x 695 x 775 x 450 x 374 = 88474973400000
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.
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
695 : 1, 5, 139, 695
775 : 1, 5, 25, 31, 155, 775
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
374 : 1, 2, 11, 17, 22, 34, 187, 374
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,695,775,450,374, is 1.
Now, the common factors can be found like this.
976:2x 2x 2x 2x 61
695:5x 139
775:5x 5x 31
450:2x 3x 3x 5x 5
374:2x 11x 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 5x 5x 5 = 500
Therefore, the value for common factors is 500.
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 = 88474973400000/(1x500)
LCM = 88474973400000/500
LCM = 176949946800
Thus, we can understand that the LCM of 976,695,775,450,374 is 176949946800.
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FAQs on LCM of 976, 695, 775, 450, 374
1. What is the LCM of 976, 695, 775, 450, 374?
Answer: LCM of 976, 695, 775, 450, 374 is 176949946800.
2. How to calculate the LCM of 976, 695, 775, 450, 374?
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 976, 695, 775, 450, 374.
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}.