LCM of 313, 478, 699, 233, 631
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 313, 478, 699, 233, 631 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 313, 478, 699, 233, 631. So, keep reading to learn more.
Given numbers are 313,478,699,233,631
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,478,699,233,631 is 65990097366.
Find LCM of 313,478,699,233,631 with Prime Factorization
| 233 | 313, 478, 699, 233, 631 |
| 313, 478, 3, 1, 631 |
Multiply the prime numbers at the bottom and the left side.
233 x 313 x 478 x 3 x 1 x 631 = 65990097366
Therefore, the lowest common multiple of 313,478,699,233,631 is 65990097366.
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.
313 x 478 x 699 x 233 x 631 = 15375692686278
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.
313 : 1, 313
478 : 1, 2, 239, 478
699 : 1, 3, 233, 699
233 : 1, 233
631 : 1, 631
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,478,699,233,631, is 1.
Now, the common factors can be found like this.
313:313
478:2x 239
699:3x 233
233:233
631:631
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
233 = 233
Therefore, the value for common factors is 233.
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 = 15375692686278/(1x233)
LCM = 15375692686278/233
LCM = 65990097366
Thus, we can understand that the LCM of 313,478,699,233,631 is 65990097366.
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FAQs on LCM of 313, 478, 699, 233, 631
1. What is the LCM of 313, 478, 699, 233, 631?
Answer: LCM of 313, 478, 699, 233, 631 is 65990097366.
2. How to calculate the LCM of 313, 478, 699, 233, 631?
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 313, 478, 699, 233, 631.
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}.