LCM of 113, 407, 429, 407, 375
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 113, 407, 429, 407, 375 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 113, 407, 429, 407, 375. So, keep reading to learn more.
Given numbers are 113,407,429,407,375
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 113,407,429,407,375 is 224206125.
Find LCM of 113,407,429,407,375 with Prime Factorization
| 3 | 113, 407, 429, 407, 375 |
| 11 | 113, 407, 143, 407, 125 |
| 37 | 113, 37, 13, 37, 125 |
| 113, 1, 13, 1, 125 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 37 x 113 x 1 x 13 x 1 x 125 = 224206125
Therefore, the lowest common multiple of 113,407,429,407,375 is 224206125.
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.
113 x 407 x 429 x 407 x 375 = 3011312464875
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.
113 : 1, 113
407 : 1, 11, 37, 407
429 : 1, 3, 11, 13, 33, 39, 143, 429
407 : 1, 11, 37, 407
375 : 1, 3, 5, 15, 25, 75, 125, 375
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,407,429,407,375, is 1.
Now, the common factors can be found like this.
113:113
407:11x 37
429:3x 11x 13
407:11x 37
375:3x 5x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 11x 37 = 13431
Therefore, the value for common factors is 13431.
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 = 3011312464875/(1x13431)
LCM = 3011312464875/13431
LCM = 224206125
Thus, we can understand that the LCM of 113,407,429,407,375 is 224206125.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 113, 407, 429, 407, 375
1. What is the LCM of 113, 407, 429, 407, 375?
Answer: LCM of 113, 407, 429, 407, 375 is 224206125.
2. How to calculate the LCM of 113, 407, 429, 407, 375?
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 113, 407, 429, 407, 375.
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}.