LCM of 478, 188, 699, 723
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 478, 188, 699, 723 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 478, 188, 699, 723. So, keep reading to learn more.
Given numbers are 478,188,699,723
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,188,699,723 is 7569199788.
Find LCM of 478,188,699,723 with Prime Factorization
| 2 | 478, 188, 699, 723 |
| 3 | 239, 94, 699, 723 |
| 239, 94, 233, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 239 x 94 x 233 x 241 = 7569199788
Therefore, the lowest common multiple of 478,188,699,723 is 7569199788.
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.
478 x 188 x 699 x 723 = 45415198728
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.
478 : 1, 2, 239, 478
188 : 1, 2, 4, 47, 94, 188
699 : 1, 3, 233, 699
723 : 1, 3, 241, 723
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,188,699,723, is 1.
Now, the common factors can be found like this.
478:2x 239
188:2x 2x 47
699:3x 233
723:3x 241
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 45415198728/(1x6)
LCM = 45415198728/6
LCM = 7569199788
Thus, we can understand that the LCM of 478,188,699,723 is 7569199788.
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FAQs on LCM of 478, 188, 699, 723
1. What is the LCM of 478, 188, 699, 723?
Answer: LCM of 478, 188, 699, 723 is 7569199788.
2. How to calculate the LCM of 478, 188, 699, 723?
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 478, 188, 699, 723.
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}.