Find the LCM of 582, 292, 932, 378 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 582, 292, 932, 378. So, keep reading to learn more.
Given numbers are 582,292,932,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 582,292,932,378 is 1247303988.
Find LCM of 582,292,932,378 with Prime Factorization
2 | 582, 292, 932, 378 |
2 | 291, 146, 466, 189 |
3 | 291, 73, 233, 189 |
97, 73, 233, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 97 x 73 x 233 x 63 = 1247303988
Therefore, the lowest common multiple of 582,292,932,378 is 1247303988.
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.
582 x 292 x 932 x 378 = 59870591424
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.
582 : 1, 2, 3, 6, 97, 194, 291, 582
292 : 1, 2, 4, 73, 146, 292
932 : 1, 2, 4, 233, 466, 932
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,292,932,378, is 2.
Now, the common factors can be found like this.
582:2x 3x 97
292:2x 2x 73
932:2x 2x 233
378:2x 3x 3x 3x 7
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 = 59870591424/(2x24)
LCM = 59870591424/48
LCM = 1247303988
Thus, we can understand that the LCM of 582,292,932,378 is 1247303988.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 582, 292, 932, 378?
Answer: LCM of 582, 292, 932, 378 is 1247303988.
2. How to calculate the LCM of 582, 292, 932, 378?
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 582, 292, 932, 378.
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}.