LCM of 400, 765, 596, 587, 447
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 400, 765, 596, 587, 447 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 400, 765, 596, 587, 447. So, keep reading to learn more.
Given numbers are 400,765,596,587,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 400,765,596,587,447 is 5352735600.
Find LCM of 400,765,596,587,447 with Prime Factorization
| 2 | 400, 765, 596, 587, 447 |
| 2 | 200, 765, 298, 587, 447 |
| 3 | 100, 765, 149, 587, 447 |
| 5 | 100, 255, 149, 587, 149 |
| 149 | 20, 51, 149, 587, 149 |
| 20, 51, 1, 587, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 149 x 20 x 51 x 1 x 587 x 1 = 5352735600
Therefore, the lowest common multiple of 400,765,596,587,447 is 5352735600.
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.
400 x 765 x 596 x 587 x 447 = 47853456264000
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.
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
596 : 1, 2, 4, 149, 298, 596
587 : 1, 587
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,765,596,587,447, is 1.
Now, the common factors can be found like this.
400:2x 2x 2x 2x 5x 5
765:3x 3x 5x 17
596:2x 2x 149
587:587
447:3x 149
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 5x 149 = 8940
Therefore, the value for common factors is 8940.
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 = 47853456264000/(1x8940)
LCM = 47853456264000/8940
LCM = 5352735600
Thus, we can understand that the LCM of 400,765,596,587,447 is 5352735600.
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FAQs on LCM of 400, 765, 596, 587, 447
1. What is the LCM of 400, 765, 596, 587, 447?
Answer: LCM of 400, 765, 596, 587, 447 is 5352735600.
2. How to calculate the LCM of 400, 765, 596, 587, 447?
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 400, 765, 596, 587, 447.
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}.