LCM of 669, 175, 223, 450, 917
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 669, 175, 223, 450, 917 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 669, 175, 223, 450, 917. So, keep reading to learn more.
Given numbers are 669,175,223,450,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 669,175,223,450,917 is 92020950.
Find LCM of 669,175,223,450,917 with Prime Factorization
| 3 | 669, 175, 223, 450, 917 |
| 5 | 223, 175, 223, 150, 917 |
| 5 | 223, 35, 223, 30, 917 |
| 7 | 223, 7, 223, 6, 917 |
| 223 | 223, 1, 223, 6, 131 |
| 1, 1, 1, 6, 131 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 7 x 223 x 1 x 1 x 1 x 6 x 131 = 92020950
Therefore, the lowest common multiple of 669,175,223,450,917 is 92020950.
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.
669 x 175 x 223 x 450 x 917 = 10773352721250
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.
669 : 1, 3, 223, 669
175 : 1, 5, 7, 25, 35, 175
223 : 1, 223
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,175,223,450,917, is 1.
Now, the common factors can be found like this.
669:3x 223
175:5x 5x 7
223:223
450:2x 3x 3x 5x 5
917:7x 131
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 7x 223 = 117075
Therefore, the value for common factors is 117075.
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 = 10773352721250/(1x117075)
LCM = 10773352721250/117075
LCM = 92020950
Thus, we can understand that the LCM of 669,175,223,450,917 is 92020950.
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FAQs on LCM of 669, 175, 223, 450, 917
1. What is the LCM of 669, 175, 223, 450, 917?
Answer: LCM of 669, 175, 223, 450, 917 is 92020950.
2. How to calculate the LCM of 669, 175, 223, 450, 917?
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 669, 175, 223, 450, 917.
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}.