LCM of 914, 287, 630, 721, 174
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 287, 630, 721, 174 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 914, 287, 630, 721, 174. So, keep reading to learn more.
Given numbers are 914,287,630,721,174
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,287,630,721,174 is 35259473970.
Find LCM of 914,287,630,721,174 with Prime Factorization
| 2 | 914, 287, 630, 721, 174 |
| 3 | 457, 287, 315, 721, 87 |
| 7 | 457, 287, 105, 721, 29 |
| 457, 41, 15, 103, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 457 x 41 x 15 x 103 x 29 = 35259473970
Therefore, the lowest common multiple of 914,287,630,721,174 is 35259473970.
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.
914 x 287 x 630 x 721 x 174 = 20732570694360
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.
914 : 1, 2, 457, 914
287 : 1, 7, 41, 287
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
721 : 1, 7, 103, 721
174 : 1, 2, 3, 6, 29, 58, 87, 174
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,287,630,721,174, is 1.
Now, the common factors can be found like this.
914:2x 457
287:7x 41
630:2x 3x 3x 5x 7
721:7x 103
174:2x 3x 29
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 7 = 588
Therefore, the value for common factors is 588.
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 = 20732570694360/(1x588)
LCM = 20732570694360/588
LCM = 35259473970
Thus, we can understand that the LCM of 914,287,630,721,174 is 35259473970.
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FAQs on LCM of 914, 287, 630, 721, 174
1. What is the LCM of 914, 287, 630, 721, 174?
Answer: LCM of 914, 287, 630, 721, 174 is 35259473970.
2. How to calculate the LCM of 914, 287, 630, 721, 174?
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 914, 287, 630, 721, 174.
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}.