LCM of 625, 407, 465, 330, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 625, 407, 465, 330, 378 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 625, 407, 465, 330, 378. So, keep reading to learn more.
Given numbers are 625,407,465,330,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 625,407,465,330,378 is 2980766250.
Find LCM of 625,407,465,330,378 with Prime Factorization
| 2 | 625, 407, 465, 330, 378 |
| 3 | 625, 407, 465, 165, 189 |
| 5 | 625, 407, 155, 55, 63 |
| 11 | 125, 407, 31, 11, 63 |
| 125, 37, 31, 1, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 125 x 37 x 31 x 1 x 63 = 2980766250
Therefore, the lowest common multiple of 625,407,465,330,378 is 2980766250.
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.
625 x 407 x 465 x 330 x 378 = 14754792937500
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.
625 : 1, 5, 25, 125, 625
407 : 1, 11, 37, 407
465 : 1, 3, 5, 15, 31, 93, 155, 465
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,407,465,330,378, is 1.
Now, the common factors can be found like this.
625:5x 5x 5x 5
407:11x 37
465:3x 5x 31
330:2x 3x 5x 11
378:2x 3x 3x 3x 7
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 11 = 4950
Therefore, the value for common factors is 4950.
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 = 14754792937500/(1x4950)
LCM = 14754792937500/4950
LCM = 2980766250
Thus, we can understand that the LCM of 625,407,465,330,378 is 2980766250.
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FAQs on LCM of 625, 407, 465, 330, 378
1. What is the LCM of 625, 407, 465, 330, 378?
Answer: LCM of 625, 407, 465, 330, 378 is 2980766250.
2. How to calculate the LCM of 625, 407, 465, 330, 378?
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 625, 407, 465, 330, 378.
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}.