Find the LCM of 339, 970, 392, 468 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 339, 970, 392, 468. So, keep reading to learn more.
Given numbers are 339,970,392,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,970,392,468 is 2513576520.
Find LCM of 339,970,392,468 with Prime Factorization
2 | 339, 970, 392, 468 |
2 | 339, 485, 196, 234 |
3 | 339, 485, 98, 117 |
113, 485, 98, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 113 x 485 x 98 x 39 = 2513576520
Therefore, the lowest common multiple of 339,970,392,468 is 2513576520.
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.
339 x 970 x 392 x 468 = 60325836480
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.
339 : 1, 3, 113, 339
970 : 1, 2, 5, 10, 97, 194, 485, 970
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,970,392,468, is 1.
Now, the common factors can be found like this.
339:3x 113
970:2x 5x 97
392:2x 2x 2x 7x 7
468:2x 2x 3x 3x 13
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 3 = 24
Therefore, the value for common factors is 24.
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 = 60325836480/(1x24)
LCM = 60325836480/24
LCM = 2513576520
Thus, we can understand that the LCM of 339,970,392,468 is 2513576520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 339, 970, 392, 468?
Answer: LCM of 339, 970, 392, 468 is 2513576520.
2. How to calculate the LCM of 339, 970, 392, 468?
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 339, 970, 392, 468.
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}.