LCM of 472, 631, 275, 920, 865
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 472, 631, 275, 920, 865 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 472, 631, 275, 920, 865. So, keep reading to learn more.
Given numbers are 472,631,275,920,865
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 472,631,275,920,865 is 325895220200.
Find LCM of 472,631,275,920,865 with Prime Factorization
| 2 | 472, 631, 275, 920, 865 |
| 2 | 236, 631, 275, 460, 865 |
| 2 | 118, 631, 275, 230, 865 |
| 5 | 59, 631, 275, 115, 865 |
| 59, 631, 55, 23, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 59 x 631 x 55 x 23 x 173 = 325895220200
Therefore, the lowest common multiple of 472,631,275,920,865 is 325895220200.
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.
472 x 631 x 275 x 920 x 865 = 65179044040000
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.
472 : 1, 2, 4, 8, 59, 118, 236, 472
631 : 1, 631
275 : 1, 5, 11, 25, 55, 275
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
865 : 1, 5, 173, 865
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 472,631,275,920,865, is 1.
Now, the common factors can be found like this.
472:2x 2x 2x 59
631:631
275:5x 5x 11
920:2x 2x 2x 5x 23
865:5x 173
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 2x 5x 5 = 200
Therefore, the value for common factors is 200.
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 = 65179044040000/(1x200)
LCM = 65179044040000/200
LCM = 325895220200
Thus, we can understand that the LCM of 472,631,275,920,865 is 325895220200.
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FAQs on LCM of 472, 631, 275, 920, 865
1. What is the LCM of 472, 631, 275, 920, 865?
Answer: LCM of 472, 631, 275, 920, 865 is 325895220200.
2. How to calculate the LCM of 472, 631, 275, 920, 865?
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 472, 631, 275, 920, 865.
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}.