LCM of 454, 710, 375, 465, 645
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 454, 710, 375, 465, 645 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 454, 710, 375, 465, 645. So, keep reading to learn more.
Given numbers are 454,710,375,465,645
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 454,710,375,465,645 is 16112970750.
Find LCM of 454,710,375,465,645 with Prime Factorization
| 2 | 454, 710, 375, 465, 645 |
| 3 | 227, 355, 375, 465, 645 |
| 5 | 227, 355, 125, 155, 215 |
| 227, 71, 25, 31, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 227 x 71 x 25 x 31 x 43 = 16112970750
Therefore, the lowest common multiple of 454,710,375,465,645 is 16112970750.
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.
454 x 710 x 375 x 465 x 645 = 36254184187500
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.
454 : 1, 2, 227, 454
710 : 1, 2, 5, 10, 71, 142, 355, 710
375 : 1, 3, 5, 15, 25, 75, 125, 375
465 : 1, 3, 5, 15, 31, 93, 155, 465
645 : 1, 3, 5, 15, 43, 129, 215, 645
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,710,375,465,645, is 1.
Now, the common factors can be found like this.
454:2x 227
710:2x 5x 71
375:3x 5x 5x 5
465:3x 5x 31
645:3x 5x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 5x 5 = 2250
Therefore, the value for common factors is 2250.
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 = 36254184187500/(1x2250)
LCM = 36254184187500/2250
LCM = 16112970750
Thus, we can understand that the LCM of 454,710,375,465,645 is 16112970750.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 454, 710, 375, 465, 645
1. What is the LCM of 454, 710, 375, 465, 645?
Answer: LCM of 454, 710, 375, 465, 645 is 16112970750.
2. How to calculate the LCM of 454, 710, 375, 465, 645?
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 454, 710, 375, 465, 645.
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}.