Find the LCM of 372, 624, 526, 932, 452 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 372, 624, 526, 932, 452. So, keep reading to learn more.
Given numbers are 372,624,526,932,452
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 372,624,526,932,452 is 133948050288.
Find LCM of 372,624,526,932,452 with Prime Factorization
2 | 372, 624, 526, 932, 452 |
2 | 186, 312, 263, 466, 226 |
3 | 93, 156, 263, 233, 113 |
31, 52, 263, 233, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 31 x 52 x 263 x 233 x 113 = 133948050288
Therefore, the lowest common multiple of 372,624,526,932,452 is 133948050288.
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.
372 x 624 x 526 x 932 x 452 = 51436051310592
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.
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
526 : 1, 2, 263, 526
932 : 1, 2, 4, 233, 466, 932
452 : 1, 2, 4, 113, 226, 452
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 372,624,526,932,452, is 2.
Now, the common factors can be found like this.
372:2x 2x 3x 31
624:2x 2x 2x 2x 3x 13
526:2x 263
932:2x 2x 233
452:2x 2x 113
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 2x 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 51436051310592/(2x192)
LCM = 51436051310592/384
LCM = 133948050288
Thus, we can understand that the LCM of 372,624,526,932,452 is 133948050288.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 372, 624, 526, 932, 452?
Answer: LCM of 372, 624, 526, 932, 452 is 133948050288.
2. How to calculate the LCM of 372, 624, 526, 932, 452?
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 372, 624, 526, 932, 452.
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}.