LCM of 434, 379, 756, 379
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 434, 379, 756, 379 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 434, 379, 756, 379. So, keep reading to learn more.
Given numbers are 434,379,756,379
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 434,379,756,379 is 8882244.
Find LCM of 434,379,756,379 with Prime Factorization
| 2 | 434, 379, 756, 379 |
| 7 | 217, 379, 378, 379 |
| 379 | 31, 379, 54, 379 |
| 31, 1, 54, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 379 x 31 x 1 x 54 x 1 = 8882244
Therefore, the lowest common multiple of 434,379,756,379 is 8882244.
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.
434 x 379 x 756 x 379 = 47129186664
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.
434 : 1, 2, 7, 14, 31, 62, 217, 434
379 : 1, 379
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
379 : 1, 379
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,379,756,379, is 1.
Now, the common factors can be found like this.
434:2x 7x 31
379:379
756:2x 2x 3x 3x 3x 7
379:379
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 379 = 5306
Therefore, the value for common factors is 5306.
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 = 47129186664/(1x5306)
LCM = 47129186664/5306
LCM = 8882244
Thus, we can understand that the LCM of 434,379,756,379 is 8882244.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 434, 379, 756, 379
1. What is the LCM of 434, 379, 756, 379?
Answer: LCM of 434, 379, 756, 379 is 8882244.
2. How to calculate the LCM of 434, 379, 756, 379?
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 434, 379, 756, 379.
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}.