Find the LCM of 519, 276, 379, 736 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 519, 276, 379, 736. So, keep reading to learn more.
Given numbers are 519,276,379,736
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 519,276,379,736 is 144771936.
Find LCM of 519,276,379,736 with Prime Factorization
2 | 519, 276, 379, 736 |
2 | 519, 138, 379, 368 |
3 | 519, 69, 379, 184 |
23 | 173, 23, 379, 184 |
173, 1, 379, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 173 x 1 x 379 x 8 = 144771936
Therefore, the lowest common multiple of 519,276,379,736 is 144771936.
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.
519 x 276 x 379 x 736 = 39957054336
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.
519 : 1, 3, 173, 519
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
379 : 1, 379
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,276,379,736, is 1.
Now, the common factors can be found like this.
519:3x 173
276:2x 2x 3x 23
379:379
736:2x 2x 2x 2x 2x 23
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 23 = 276
Therefore, the value for common factors is 276.
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 = 39957054336/(1x276)
LCM = 39957054336/276
LCM = 144771936
Thus, we can understand that the LCM of 519,276,379,736 is 144771936.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 519, 276, 379, 736?
Answer: LCM of 519, 276, 379, 736 is 144771936.
2. How to calculate the LCM of 519, 276, 379, 736?
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 519, 276, 379, 736.
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}.