LCM of 441, 807, 765, 425
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 441, 807, 765, 425 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 441, 807, 765, 425. So, keep reading to learn more.
Given numbers are 441,807,765,425
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 441,807,765,425 is 50417325.
Find LCM of 441,807,765,425 with Prime Factorization
| 3 | 441, 807, 765, 425 |
| 3 | 147, 269, 255, 425 |
| 5 | 49, 269, 85, 425 |
| 17 | 49, 269, 17, 85 |
| 49, 269, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 17 x 49 x 269 x 1 x 5 = 50417325
Therefore, the lowest common multiple of 441,807,765,425 is 50417325.
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.
441 x 807 x 765 x 425 = 115707760875
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.
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
807 : 1, 3, 269, 807
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
425 : 1, 5, 17, 25, 85, 425
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,807,765,425, is 1.
Now, the common factors can be found like this.
441:3x 3x 7x 7
807:3x 269
765:3x 3x 5x 17
425:5x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 17 = 2295
Therefore, the value for common factors is 2295.
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 = 115707760875/(1x2295)
LCM = 115707760875/2295
LCM = 50417325
Thus, we can understand that the LCM of 441,807,765,425 is 50417325.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 441, 807, 765, 425
1. What is the LCM of 441, 807, 765, 425?
Answer: LCM of 441, 807, 765, 425 is 50417325.
2. How to calculate the LCM of 441, 807, 765, 425?
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 441, 807, 765, 425.
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}.